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Finding the Fourth Proportional to 13,562.91, 18,698.45 and 11,594.61

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Solution

The fourth proportional to 13,562.91, 18,698.45 and 11,594.61 is: 15,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.91 : 18,698.45 = 11,594.61 : x
  2. Step 2: Convert to fraction form
    13,562.91/18,698.45 = 11,594.61/x
  3. Step 3: Cross multiply
    13,562.91x = 18,698.45 × 11,594.61
  4. Step 4: Simplify right side
    13,562.91x = 216,801,177.38
  5. Step 5: Solve for x
    x = 216,801,177.38/13,562.91
  6. Step 6: Final answer
    x = 15,984.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.