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Finding the Fourth Proportional to 24,233.84, 36,337.09 and 9,425.80

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Solution

The fourth proportional to 24,233.84, 36,337.09 and 9,425.80 is: 14,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.84 : 36,337.09 = 9,425.80 : x
  2. Step 2: Convert to fraction form
    24,233.84/36,337.09 = 9,425.80/x
  3. Step 3: Cross multiply
    24,233.84x = 36,337.09 × 9,425.80
  4. Step 4: Simplify right side
    24,233.84x = 342,506,142.92
  5. Step 5: Solve for x
    x = 342,506,142.92/24,233.84
  6. Step 6: Final answer
    x = 14,133.38

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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.