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Finding the Fourth Proportional to 22,697.88, 34,046.71 and 5,830.88

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Solution

The fourth proportional to 22,697.88, 34,046.71 and 5,830.88 is: 8,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.88 : 34,046.71 = 5,830.88 : x
  2. Step 2: Convert to fraction form
    22,697.88/34,046.71 = 5,830.88/x
  3. Step 3: Cross multiply
    22,697.88x = 34,046.71 × 5,830.88
  4. Step 4: Simplify right side
    22,697.88x = 198,522,081.02
  5. Step 5: Solve for x
    x = 198,522,081.02/22,697.88
  6. Step 6: Final answer
    x = 8,746.28

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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.