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Finding the Fourth Proportional to 22,433.16, 30,957.68 and 13,007.20

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Solution

The fourth proportional to 22,433.16, 30,957.68 and 13,007.20 is: 17,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.16 : 30,957.68 = 13,007.20 : x
  2. Step 2: Convert to fraction form
    22,433.16/30,957.68 = 13,007.20/x
  3. Step 3: Cross multiply
    22,433.16x = 30,957.68 × 13,007.20
  4. Step 4: Simplify right side
    22,433.16x = 402,672,735.30
  5. Step 5: Solve for x
    x = 402,672,735.30/22,433.16
  6. Step 6: Final answer
    x = 17,949.89

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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.