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Finding the Fourth Proportional to 13,805.17, 20,691.99 and 6,292.01

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Solution

The fourth proportional to 13,805.17, 20,691.99 and 6,292.01 is: 9,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.17 : 20,691.99 = 6,292.01 : x
  2. Step 2: Convert to fraction form
    13,805.17/20,691.99 = 6,292.01/x
  3. Step 3: Cross multiply
    13,805.17x = 20,691.99 × 6,292.01
  4. Step 4: Simplify right side
    13,805.17x = 130,194,259.73
  5. Step 5: Solve for x
    x = 130,194,259.73/13,805.17
  6. Step 6: Final answer
    x = 9,430.84

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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.