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Finding the Fourth Proportional to 12,595.52, 18,868.62 and 9,659.45

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Solution

The fourth proportional to 12,595.52, 18,868.62 and 9,659.45 is: 14,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.52 : 18,868.62 = 9,659.45 : x
  2. Step 2: Convert to fraction form
    12,595.52/18,868.62 = 9,659.45/x
  3. Step 3: Cross multiply
    12,595.52x = 18,868.62 × 9,659.45
  4. Step 4: Simplify right side
    12,595.52x = 182,260,491.46
  5. Step 5: Solve for x
    x = 182,260,491.46/12,595.52
  6. Step 6: Final answer
    x = 14,470.26

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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.