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Finding the Fourth Proportional to 24,313.42, 36,470.14 and 7,675.13

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Solution

The fourth proportional to 24,313.42, 36,470.14 and 7,675.13 is: 11,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.42 : 36,470.14 = 7,675.13 : x
  2. Step 2: Convert to fraction form
    24,313.42/36,470.14 = 7,675.13/x
  3. Step 3: Cross multiply
    24,313.42x = 36,470.14 × 7,675.13
  4. Step 4: Simplify right side
    24,313.42x = 279,913,137.61
  5. Step 5: Solve for x
    x = 279,913,137.61/24,313.42
  6. Step 6: Final answer
    x = 11,512.70

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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.