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Finding the Fourth Proportional to 13,817.88, 20,710.59 and 6,406.74

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Solution

The fourth proportional to 13,817.88, 20,710.59 and 6,406.74 is: 9,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.88 : 20,710.59 = 6,406.74 : x
  2. Step 2: Convert to fraction form
    13,817.88/20,710.59 = 6,406.74/x
  3. Step 3: Cross multiply
    13,817.88x = 20,710.59 × 6,406.74
  4. Step 4: Simplify right side
    13,817.88x = 132,687,365.38
  5. Step 5: Solve for x
    x = 132,687,365.38/13,817.88
  6. Step 6: Final answer
    x = 9,602.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.