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Finding the Fourth Proportional to 24,951.42, 37,421.62 and 7,178.14

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Solution

The fourth proportional to 24,951.42, 37,421.62 and 7,178.14 is: 10,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.42 : 37,421.62 = 7,178.14 : x
  2. Step 2: Convert to fraction form
    24,951.42/37,421.62 = 7,178.14/x
  3. Step 3: Cross multiply
    24,951.42x = 37,421.62 × 7,178.14
  4. Step 4: Simplify right side
    24,951.42x = 268,617,627.39
  5. Step 5: Solve for x
    x = 268,617,627.39/24,951.42
  6. Step 6: Final answer
    x = 10,765.62

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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.