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Finding the Fourth Proportional to 22,661.90, 34,014.47 and 13,913.90

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Solution

The fourth proportional to 22,661.90, 34,014.47 and 13,913.90 is: 20,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.90 : 34,014.47 = 13,913.90 : x
  2. Step 2: Convert to fraction form
    22,661.90/34,014.47 = 13,913.90/x
  3. Step 3: Cross multiply
    22,661.90x = 34,014.47 × 13,913.90
  4. Step 4: Simplify right side
    22,661.90x = 473,273,934.13
  5. Step 5: Solve for x
    x = 473,273,934.13/22,661.90
  6. Step 6: Final answer
    x = 20,884.12

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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.