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Finding the Fourth Proportional to 13,985.71, 20,972.07 and 5,218.27

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Solution

The fourth proportional to 13,985.71, 20,972.07 and 5,218.27 is: 7,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.71 : 20,972.07 = 5,218.27 : x
  2. Step 2: Convert to fraction form
    13,985.71/20,972.07 = 5,218.27/x
  3. Step 3: Cross multiply
    13,985.71x = 20,972.07 × 5,218.27
  4. Step 4: Simplify right side
    13,985.71x = 109,437,871.29
  5. Step 5: Solve for x
    x = 109,437,871.29/13,985.71
  6. Step 6: Final answer
    x = 7,824.98

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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.