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Finding the Fourth Proportional to 24,562.54, 36,812.99 and 10,506.07

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Solution

The fourth proportional to 24,562.54, 36,812.99 and 10,506.07 is: 15,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.54 : 36,812.99 = 10,506.07 : x
  2. Step 2: Convert to fraction form
    24,562.54/36,812.99 = 10,506.07/x
  3. Step 3: Cross multiply
    24,562.54x = 36,812.99 × 10,506.07
  4. Step 4: Simplify right side
    24,562.54x = 386,759,705.29
  5. Step 5: Solve for x
    x = 386,759,705.29/24,562.54
  6. Step 6: Final answer
    x = 15,745.92

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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.