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Finding the Fourth Proportional to 24,575.53, 36,865.70 and 9,781

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Solution

The fourth proportional to 24,575.53, 36,865.70 and 9,781 is: 14,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.53 : 36,865.70 = 9,781 : x
  2. Step 2: Convert to fraction form
    24,575.53/36,865.70 = 9,781/x
  3. Step 3: Cross multiply
    24,575.53x = 36,865.70 × 9,781
  4. Step 4: Simplify right side
    24,575.53x = 360,583,411.70
  5. Step 5: Solve for x
    x = 360,583,411.70/24,575.53
  6. Step 6: Final answer
    x = 14,672.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.