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Finding the Fourth Proportional to 19,839.12, 29,731.62 and 9,985.17

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Solution

The fourth proportional to 19,839.12, 29,731.62 and 9,985.17 is: 14,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.12 : 29,731.62 = 9,985.17 : x
  2. Step 2: Convert to fraction form
    19,839.12/29,731.62 = 9,985.17/x
  3. Step 3: Cross multiply
    19,839.12x = 29,731.62 × 9,985.17
  4. Step 4: Simplify right side
    19,839.12x = 296,875,280.08
  5. Step 5: Solve for x
    x = 296,875,280.08/19,839.12
  6. Step 6: Final answer
    x = 14,964.14

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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.