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Finding the Fourth Proportional to 24,688.14, 37,036.05 and 8,044.30

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Solution

The fourth proportional to 24,688.14, 37,036.05 and 8,044.30 is: 12,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.14 : 37,036.05 = 8,044.30 : x
  2. Step 2: Convert to fraction form
    24,688.14/37,036.05 = 8,044.30/x
  3. Step 3: Cross multiply
    24,688.14x = 37,036.05 × 8,044.30
  4. Step 4: Simplify right side
    24,688.14x = 297,929,097.02
  5. Step 5: Solve for x
    x = 297,929,097.02/24,688.14
  6. Step 6: Final answer
    x = 12,067.70

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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.