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Finding the Fourth Proportional to 24,488.41, 36,714.55 and 7,838.81

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Solution

The fourth proportional to 24,488.41, 36,714.55 and 7,838.81 is: 11,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.41 : 36,714.55 = 7,838.81 : x
  2. Step 2: Convert to fraction form
    24,488.41/36,714.55 = 7,838.81/x
  3. Step 3: Cross multiply
    24,488.41x = 36,714.55 × 7,838.81
  4. Step 4: Simplify right side
    24,488.41x = 287,798,381.69
  5. Step 5: Solve for x
    x = 287,798,381.69/24,488.41
  6. Step 6: Final answer
    x = 11,752.43

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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.