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Finding the Fourth Proportional to 19,585.05, 29,387.69 and 9,724.11

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Solution

The fourth proportional to 19,585.05, 29,387.69 and 9,724.11 is: 14,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.05 : 29,387.69 = 9,724.11 : x
  2. Step 2: Convert to fraction form
    19,585.05/29,387.69 = 9,724.11/x
  3. Step 3: Cross multiply
    19,585.05x = 29,387.69 × 9,724.11
  4. Step 4: Simplify right side
    19,585.05x = 285,769,130.21
  5. Step 5: Solve for x
    x = 285,769,130.21/19,585.05
  6. Step 6: Final answer
    x = 14,591.19

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Why These Related Problems?

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