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Finding the Fourth Proportional to 24,394.93, 36,604.70 and 9,614.45

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Solution

The fourth proportional to 24,394.93, 36,604.70 and 9,614.45 is: 14,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.93 : 36,604.70 = 9,614.45 : x
  2. Step 2: Convert to fraction form
    24,394.93/36,604.70 = 9,614.45/x
  3. Step 3: Cross multiply
    24,394.93x = 36,604.70 × 9,614.45
  4. Step 4: Simplify right side
    24,394.93x = 351,934,057.92
  5. Step 5: Solve for x
    x = 351,934,057.92/24,394.93
  6. Step 6: Final answer
    x = 14,426.52

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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.