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Finding the Fourth Proportional to 22,426.88, 30,949.09 and 13,000.91

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Solution

The fourth proportional to 22,426.88, 30,949.09 and 13,000.91 is: 17,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.88 : 30,949.09 = 13,000.91 : x
  2. Step 2: Convert to fraction form
    22,426.88/30,949.09 = 13,000.91/x
  3. Step 3: Cross multiply
    22,426.88x = 30,949.09 × 13,000.91
  4. Step 4: Simplify right side
    22,426.88x = 402,366,146.42
  5. Step 5: Solve for x
    x = 402,366,146.42/22,426.88
  6. Step 6: Final answer
    x = 17,941.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.