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Finding the Fourth Proportional to 24,029.97, 36,044.85 and 6,499.74

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Solution

The fourth proportional to 24,029.97, 36,044.85 and 6,499.74 is: 9,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029.97 : 36,044.85 = 6,499.74 : x
  2. Step 2: Convert to fraction form
    24,029.97/36,044.85 = 6,499.74/x
  3. Step 3: Cross multiply
    24,029.97x = 36,044.85 × 6,499.74
  4. Step 4: Simplify right side
    24,029.97x = 234,282,153.34
  5. Step 5: Solve for x
    x = 234,282,153.34/24,029.97
  6. Step 6: Final answer
    x = 9,749.58

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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.