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Finding the Fourth Proportional to 22,017.49, 32,983.74 and 13,139.92

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Solution

The fourth proportional to 22,017.49, 32,983.74 and 13,139.92 is: 19,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017.49 : 32,983.74 = 13,139.92 : x
  2. Step 2: Convert to fraction form
    22,017.49/32,983.74 = 13,139.92/x
  3. Step 3: Cross multiply
    22,017.49x = 32,983.74 × 13,139.92
  4. Step 4: Simplify right side
    22,017.49x = 433,403,704.90
  5. Step 5: Solve for x
    x = 433,403,704.90/22,017.49
  6. Step 6: Final answer
    x = 19,684.52

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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.