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Finding the Fourth Proportional to 24,517.62, 36,775.71 and 14,590.47

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Solution

The fourth proportional to 24,517.62, 36,775.71 and 14,590.47 is: 21,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.62 : 36,775.71 = 14,590.47 : x
  2. Step 2: Convert to fraction form
    24,517.62/36,775.71 = 14,590.47/x
  3. Step 3: Cross multiply
    24,517.62x = 36,775.71 × 14,590.47
  4. Step 4: Simplify right side
    24,517.62x = 536,574,893.48
  5. Step 5: Solve for x
    x = 536,574,893.48/24,517.62
  6. Step 6: Final answer
    x = 21,885.28

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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.