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Finding the Fourth Proportional to 24,582.88, 36,874.45 and 6,114.88

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Solution

The fourth proportional to 24,582.88, 36,874.45 and 6,114.88 is: 9,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.88 : 36,874.45 = 6,114.88 : x
  2. Step 2: Convert to fraction form
    24,582.88/36,874.45 = 6,114.88/x
  3. Step 3: Cross multiply
    24,582.88x = 36,874.45 × 6,114.88
  4. Step 4: Simplify right side
    24,582.88x = 225,482,836.82
  5. Step 5: Solve for x
    x = 225,482,836.82/24,582.88
  6. Step 6: Final answer
    x = 9,172.35

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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.