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Finding the Fourth Proportional to 39,006.30, 58,509.32 and 9,424.14

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Solution

The fourth proportional to 39,006.30, 58,509.32 and 9,424.14 is: 14,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006.30 : 58,509.32 = 9,424.14 : x
  2. Step 2: Convert to fraction form
    39,006.30/58,509.32 = 9,424.14/x
  3. Step 3: Cross multiply
    39,006.30x = 58,509.32 × 9,424.14
  4. Step 4: Simplify right side
    39,006.30x = 551,399,730.44
  5. Step 5: Solve for x
    x = 551,399,730.44/39,006.30
  6. Step 6: Final answer
    x = 14,136.17

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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.