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Finding the Fourth Proportional to 19,918.47, 29,877.69 and 13,659.50

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Solution

The fourth proportional to 19,918.47, 29,877.69 and 13,659.50 is: 20,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918.47 : 29,877.69 = 13,659.50 : x
  2. Step 2: Convert to fraction form
    19,918.47/29,877.69 = 13,659.50/x
  3. Step 3: Cross multiply
    19,918.47x = 29,877.69 × 13,659.50
  4. Step 4: Simplify right side
    19,918.47x = 408,114,432.47
  5. Step 5: Solve for x
    x = 408,114,432.47/19,918.47
  6. Step 6: Final answer
    x = 20,489.24

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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.