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Finding the Fourth Proportional to 24,335.84, 36,503.52 and 7,695.87

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Solution

The fourth proportional to 24,335.84, 36,503.52 and 7,695.87 is: 11,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.84 : 36,503.52 = 7,695.87 : x
  2. Step 2: Convert to fraction form
    24,335.84/36,503.52 = 7,695.87/x
  3. Step 3: Cross multiply
    24,335.84x = 36,503.52 × 7,695.87
  4. Step 4: Simplify right side
    24,335.84x = 280,926,344.46
  5. Step 5: Solve for x
    x = 280,926,344.46/24,335.84
  6. Step 6: Final answer
    x = 11,543.73

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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.