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Finding the Fourth Proportional to 15,267.59, 22,898.64 and 6,947.87

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Solution

The fourth proportional to 15,267.59, 22,898.64 and 6,947.87 is: 10,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,267.59 : 22,898.64 = 6,947.87 : x
  2. Step 2: Convert to fraction form
    15,267.59/22,898.64 = 6,947.87/x
  3. Step 3: Cross multiply
    15,267.59x = 22,898.64 × 6,947.87
  4. Step 4: Simplify right side
    15,267.59x = 159,096,773.90
  5. Step 5: Solve for x
    x = 159,096,773.90/15,267.59
  6. Step 6: Final answer
    x = 10,420.56

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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.