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Finding the Fourth Proportional to 24,874.98, 37,312.47 and 8,230.55

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Solution

The fourth proportional to 24,874.98, 37,312.47 and 8,230.55 is: 12,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.98 : 37,312.47 = 8,230.55 : x
  2. Step 2: Convert to fraction form
    24,874.98/37,312.47 = 8,230.55/x
  3. Step 3: Cross multiply
    24,874.98x = 37,312.47 × 8,230.55
  4. Step 4: Simplify right side
    24,874.98x = 307,101,963.40
  5. Step 5: Solve for x
    x = 307,101,963.40/24,874.98
  6. Step 6: Final answer
    x = 12,345.82

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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.