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Finding the Fourth Proportional to 16,358.56, 22,571.80 and 9,646.32

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Solution

The fourth proportional to 16,358.56, 22,571.80 and 9,646.32 is: 13,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.56 : 22,571.80 = 9,646.32 : x
  2. Step 2: Convert to fraction form
    16,358.56/22,571.80 = 9,646.32/x
  3. Step 3: Cross multiply
    16,358.56x = 22,571.80 × 9,646.32
  4. Step 4: Simplify right side
    16,358.56x = 217,734,805.78
  5. Step 5: Solve for x
    x = 217,734,805.78/16,358.56
  6. Step 6: Final answer
    x = 13,310.15

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