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Finding the Fourth Proportional to 24,292.94, 36,432.36 and 10,256.09

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Solution

The fourth proportional to 24,292.94, 36,432.36 and 10,256.09 is: 15,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.94 : 36,432.36 = 10,256.09 : x
  2. Step 2: Convert to fraction form
    24,292.94/36,432.36 = 10,256.09/x
  3. Step 3: Cross multiply
    24,292.94x = 36,432.36 × 10,256.09
  4. Step 4: Simplify right side
    24,292.94x = 373,653,380.91
  5. Step 5: Solve for x
    x = 373,653,380.91/24,292.94
  6. Step 6: Final answer
    x = 15,381.15

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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.