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Finding the Fourth Proportional to 24,842.14, 37,263.17 and 6,374.14

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Solution

The fourth proportional to 24,842.14, 37,263.17 and 6,374.14 is: 9,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.14 : 37,263.17 = 6,374.14 : x
  2. Step 2: Convert to fraction form
    24,842.14/37,263.17 = 6,374.14/x
  3. Step 3: Cross multiply
    24,842.14x = 37,263.17 × 6,374.14
  4. Step 4: Simplify right side
    24,842.14x = 237,520,662.42
  5. Step 5: Solve for x
    x = 237,520,662.42/24,842.14
  6. Step 6: Final answer
    x = 9,561.20

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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.