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Finding the Fourth Proportional to 24,761, 37,145.59 and 12,281.43

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Solution

The fourth proportional to 24,761, 37,145.59 and 12,281.43 is: 18,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761 : 37,145.59 = 12,281.43 : x
  2. Step 2: Convert to fraction form
    24,761/37,145.59 = 12,281.43/x
  3. Step 3: Cross multiply
    24,761x = 37,145.59 × 12,281.43
  4. Step 4: Simplify right side
    24,761x = 456,200,963.39
  5. Step 5: Solve for x
    x = 456,200,963.39/24,761
  6. Step 6: Final answer
    x = 18,424.17

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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.