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Finding the Fourth Proportional to 24,313.59, 36,468.54 and 7,674.15

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Solution

The fourth proportional to 24,313.59, 36,468.54 and 7,674.15 is: 11,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.59 : 36,468.54 = 7,674.15 : x
  2. Step 2: Convert to fraction form
    24,313.59/36,468.54 = 7,674.15/x
  3. Step 3: Cross multiply
    24,313.59x = 36,468.54 × 7,674.15
  4. Step 4: Simplify right side
    24,313.59x = 279,865,046.24
  5. Step 5: Solve for x
    x = 279,865,046.24/24,313.59
  6. Step 6: Final answer
    x = 11,510.64

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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.