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Finding the Fourth Proportional to 24,691.84, 37,030.08 and 8,272

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Solution

The fourth proportional to 24,691.84, 37,030.08 and 8,272 is: 12,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.84 : 37,030.08 = 8,272 : x
  2. Step 2: Convert to fraction form
    24,691.84/37,030.08 = 8,272/x
  3. Step 3: Cross multiply
    24,691.84x = 37,030.08 × 8,272
  4. Step 4: Simplify right side
    24,691.84x = 306,312,821.76
  5. Step 5: Solve for x
    x = 306,312,821.76/24,691.84
  6. Step 6: Final answer
    x = 12,405.43

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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.