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Finding the Fourth Proportional to 24,139.07, 36,208.65 and 10,288.07

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Solution

The fourth proportional to 24,139.07, 36,208.65 and 10,288.07 is: 15,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.07 : 36,208.65 = 10,288.07 : x
  2. Step 2: Convert to fraction form
    24,139.07/36,208.65 = 10,288.07/x
  3. Step 3: Cross multiply
    24,139.07x = 36,208.65 × 10,288.07
  4. Step 4: Simplify right side
    24,139.07x = 372,516,893.32
  5. Step 5: Solve for x
    x = 372,516,893.32/24,139.07
  6. Step 6: Final answer
    x = 15,432.12

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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.