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Finding the Fourth Proportional to 22,433.42, 30,957.54 and 13,001.42

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Solution

The fourth proportional to 22,433.42, 30,957.54 and 13,001.42 is: 17,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.42 : 30,957.54 = 13,001.42 : x
  2. Step 2: Convert to fraction form
    22,433.42/30,957.54 = 13,001.42/x
  3. Step 3: Cross multiply
    22,433.42x = 30,957.54 × 13,001.42
  4. Step 4: Simplify right side
    22,433.42x = 402,491,979.71
  5. Step 5: Solve for x
    x = 402,491,979.71/22,433.42
  6. Step 6: Final answer
    x = 17,941.62

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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.