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Finding the Fourth Proportional to 16,294.72, 22,479.09 and 9,580.24

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Solution

The fourth proportional to 16,294.72, 22,479.09 and 9,580.24 is: 13,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.72 : 22,479.09 = 9,580.24 : x
  2. Step 2: Convert to fraction form
    16,294.72/22,479.09 = 9,580.24/x
  3. Step 3: Cross multiply
    16,294.72x = 22,479.09 × 9,580.24
  4. Step 4: Simplify right side
    16,294.72x = 215,355,077.18
  5. Step 5: Solve for x
    x = 215,355,077.18/16,294.72
  6. Step 6: Final answer
    x = 13,216.25

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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.