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Finding the Fourth Proportional to 16,098.18, 22,215.69 and 9,811.14

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Solution

The fourth proportional to 16,098.18, 22,215.69 and 9,811.14 is: 13,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.18 : 22,215.69 = 9,811.14 : x
  2. Step 2: Convert to fraction form
    16,098.18/22,215.69 = 9,811.14/x
  3. Step 3: Cross multiply
    16,098.18x = 22,215.69 × 9,811.14
  4. Step 4: Simplify right side
    16,098.18x = 217,961,244.79
  5. Step 5: Solve for x
    x = 217,961,244.79/16,098.18
  6. Step 6: Final answer
    x = 13,539.50

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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.