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Finding the Fourth Proportional to 24,296.71, 36,438.03 and 10,259.92

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Solution

The fourth proportional to 24,296.71, 36,438.03 and 10,259.92 is: 15,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.71 : 36,438.03 = 10,259.92 : x
  2. Step 2: Convert to fraction form
    24,296.71/36,438.03 = 10,259.92/x
  3. Step 3: Cross multiply
    24,296.71x = 36,438.03 × 10,259.92
  4. Step 4: Simplify right side
    24,296.71x = 373,851,272.76
  5. Step 5: Solve for x
    x = 373,851,272.76/24,296.71
  6. Step 6: Final answer
    x = 15,386.91

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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.