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Finding the Fourth Proportional to 24,661.52, 36,989.40 and 9,869.84

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Solution

The fourth proportional to 24,661.52, 36,989.40 and 9,869.84 is: 14,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.52 : 36,989.40 = 9,869.84 : x
  2. Step 2: Convert to fraction form
    24,661.52/36,989.40 = 9,869.84/x
  3. Step 3: Cross multiply
    24,661.52x = 36,989.40 × 9,869.84
  4. Step 4: Simplify right side
    24,661.52x = 365,079,459.70
  5. Step 5: Solve for x
    x = 365,079,459.70/24,661.52
  6. Step 6: Final answer
    x = 14,803.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.