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Finding the Fourth Proportional to 24,659.36, 36,964.80 and 9,655.47

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Solution

The fourth proportional to 24,659.36, 36,964.80 and 9,655.47 is: 14,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.36 : 36,964.80 = 9,655.47 : x
  2. Step 2: Convert to fraction form
    24,659.36/36,964.80 = 9,655.47/x
  3. Step 3: Cross multiply
    24,659.36x = 36,964.80 × 9,655.47
  4. Step 4: Simplify right side
    24,659.36x = 356,912,517.46
  5. Step 5: Solve for x
    x = 356,912,517.46/24,659.36
  6. Step 6: Final answer
    x = 14,473.72

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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.