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Finding the Fourth Proportional to 11,116.16, 16,693.34 and 9,869.56

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Solution

The fourth proportional to 11,116.16, 16,693.34 and 9,869.56 is: 14,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.16 : 16,693.34 = 9,869.56 : x
  2. Step 2: Convert to fraction form
    11,116.16/16,693.34 = 9,869.56/x
  3. Step 3: Cross multiply
    11,116.16x = 16,693.34 × 9,869.56
  4. Step 4: Simplify right side
    11,116.16x = 164,755,920.73
  5. Step 5: Solve for x
    x = 164,755,920.73/11,116.16
  6. Step 6: Final answer
    x = 14,821.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.