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Finding the Fourth Proportional to 16,203.52, 22,360.64 and 9,128.96

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Solution

The fourth proportional to 16,203.52, 22,360.64 and 9,128.96 is: 12,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.52 : 22,360.64 = 9,128.96 : x
  2. Step 2: Convert to fraction form
    16,203.52/22,360.64 = 9,128.96/x
  3. Step 3: Cross multiply
    16,203.52x = 22,360.64 × 9,128.96
  4. Step 4: Simplify right side
    16,203.52x = 204,129,388.13
  5. Step 5: Solve for x
    x = 204,129,388.13/16,203.52
  6. Step 6: Final answer
    x = 12,597.84

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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.