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Finding the Fourth Proportional to 22,957.17, 34,435.72 and 6,317.29

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Solution

The fourth proportional to 22,957.17, 34,435.72 and 6,317.29 is: 9,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.17 : 34,435.72 = 6,317.29 : x
  2. Step 2: Convert to fraction form
    22,957.17/34,435.72 = 6,317.29/x
  3. Step 3: Cross multiply
    22,957.17x = 34,435.72 × 6,317.29
  4. Step 4: Simplify right side
    22,957.17x = 217,540,429.60
  5. Step 5: Solve for x
    x = 217,540,429.60/22,957.17
  6. Step 6: Final answer
    x = 9,475.93

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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.