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Finding the Fourth Proportional to 16,409.16, 22,644 and 9,238.92

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Solution

The fourth proportional to 16,409.16, 22,644 and 9,238.92 is: 12,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.16 : 22,644 = 9,238.92 : x
  2. Step 2: Convert to fraction form
    16,409.16/22,644 = 9,238.92/x
  3. Step 3: Cross multiply
    16,409.16x = 22,644 × 9,238.92
  4. Step 4: Simplify right side
    16,409.16x = 209,206,104.48
  5. Step 5: Solve for x
    x = 209,206,104.48/16,409.16
  6. Step 6: Final answer
    x = 12,749.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.