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Finding the Fourth Proportional to 24,312.15, 36,470.28 and 6,781.98

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Solution

The fourth proportional to 24,312.15, 36,470.28 and 6,781.98 is: 10,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.15 : 36,470.28 = 6,781.98 : x
  2. Step 2: Convert to fraction form
    24,312.15/36,470.28 = 6,781.98/x
  3. Step 3: Cross multiply
    24,312.15x = 36,470.28 × 6,781.98
  4. Step 4: Simplify right side
    24,312.15x = 247,340,709.55
  5. Step 5: Solve for x
    x = 247,340,709.55/24,312.15
  6. Step 6: Final answer
    x = 10,173.54

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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.