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Finding the Fourth Proportional to 16,294.80, 22,485.49 and 9,580.71

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Solution

The fourth proportional to 16,294.80, 22,485.49 and 9,580.71 is: 13,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.80 : 22,485.49 = 9,580.71 : x
  2. Step 2: Convert to fraction form
    16,294.80/22,485.49 = 9,580.71/x
  3. Step 3: Cross multiply
    16,294.80x = 22,485.49 × 9,580.71
  4. Step 4: Simplify right side
    16,294.80x = 215,426,934.95
  5. Step 5: Solve for x
    x = 215,426,934.95/16,294.80
  6. Step 6: Final answer
    x = 13,220.59

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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.