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Finding the Fourth Proportional to 13,605.71, 20,404.69 and 5,283.95

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Solution

The fourth proportional to 13,605.71, 20,404.69 and 5,283.95 is: 7,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.71 : 20,404.69 = 5,283.95 : x
  2. Step 2: Convert to fraction form
    13,605.71/20,404.69 = 5,283.95/x
  3. Step 3: Cross multiply
    13,605.71x = 20,404.69 × 5,283.95
  4. Step 4: Simplify right side
    13,605.71x = 107,817,259.70
  5. Step 5: Solve for x
    x = 107,817,259.70/13,605.71
  6. Step 6: Final answer
    x = 7,924.42

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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.