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Finding the Fourth Proportional to 16,294.79, 22,478.99 and 9,580.10

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Solution

The fourth proportional to 16,294.79, 22,478.99 and 9,580.10 is: 13,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.79 : 22,478.99 = 9,580.10 : x
  2. Step 2: Convert to fraction form
    16,294.79/22,478.99 = 9,580.10/x
  3. Step 3: Cross multiply
    16,294.79x = 22,478.99 × 9,580.10
  4. Step 4: Simplify right side
    16,294.79x = 215,350,811.80
  5. Step 5: Solve for x
    x = 215,350,811.80/16,294.79
  6. Step 6: Final answer
    x = 13,215.93

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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.