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Finding the Fourth Proportional to 15,133.60, 22,673.02 and 8,462.11

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Solution

The fourth proportional to 15,133.60, 22,673.02 and 8,462.11 is: 12,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.60 : 22,673.02 = 8,462.11 : x
  2. Step 2: Convert to fraction form
    15,133.60/22,673.02 = 8,462.11/x
  3. Step 3: Cross multiply
    15,133.60x = 22,673.02 × 8,462.11
  4. Step 4: Simplify right side
    15,133.60x = 191,861,589.27
  5. Step 5: Solve for x
    x = 191,861,589.27/15,133.60
  6. Step 6: Final answer
    x = 12,677.86

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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.