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Finding the Fourth Proportional to 22,700.25, 34,041.47 and 13,342.59

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Solution

The fourth proportional to 22,700.25, 34,041.47 and 13,342.59 is: 20,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.25 : 34,041.47 = 13,342.59 : x
  2. Step 2: Convert to fraction form
    22,700.25/34,041.47 = 13,342.59/x
  3. Step 3: Cross multiply
    22,700.25x = 34,041.47 × 13,342.59
  4. Step 4: Simplify right side
    22,700.25x = 454,201,310.49
  5. Step 5: Solve for x
    x = 454,201,310.49/22,700.25
  6. Step 6: Final answer
    x = 20,008.65

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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.