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Finding the Fourth Proportional to 12,154.71, 18,221.30 and 4,764.48

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Solution

The fourth proportional to 12,154.71, 18,221.30 and 4,764.48 is: 7,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.71 : 18,221.30 = 4,764.48 : x
  2. Step 2: Convert to fraction form
    12,154.71/18,221.30 = 4,764.48/x
  3. Step 3: Cross multiply
    12,154.71x = 18,221.30 × 4,764.48
  4. Step 4: Simplify right side
    12,154.71x = 86,815,019.42
  5. Step 5: Solve for x
    x = 86,815,019.42/12,154.71
  6. Step 6: Final answer
    x = 7,142.50

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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.