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Finding the Fourth Proportional to 24,659.52, 36,986.40 and 9,867.84

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Solution

The fourth proportional to 24,659.52, 36,986.40 and 9,867.84 is: 14,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.52 : 36,986.40 = 9,867.84 : x
  2. Step 2: Convert to fraction form
    24,659.52/36,986.40 = 9,867.84/x
  3. Step 3: Cross multiply
    24,659.52x = 36,986.40 × 9,867.84
  4. Step 4: Simplify right side
    24,659.52x = 364,975,877.38
  5. Step 5: Solve for x
    x = 364,975,877.38/24,659.52
  6. Step 6: Final answer
    x = 14,800.61

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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.