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Finding the Fourth Proportional to 16,509.23, 22,782.54 and 8,955.42

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Solution

The fourth proportional to 16,509.23, 22,782.54 and 8,955.42 is: 12,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.23 : 22,782.54 = 8,955.42 : x
  2. Step 2: Convert to fraction form
    16,509.23/22,782.54 = 8,955.42/x
  3. Step 3: Cross multiply
    16,509.23x = 22,782.54 × 8,955.42
  4. Step 4: Simplify right side
    16,509.23x = 204,027,214.37
  5. Step 5: Solve for x
    x = 204,027,214.37/16,509.23
  6. Step 6: Final answer
    x = 12,358.37

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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.