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Finding the Fourth Proportional to 17,642.43, 24,348.49 and 10,089.46

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Solution

The fourth proportional to 17,642.43, 24,348.49 and 10,089.46 is: 13,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.43 : 24,348.49 = 10,089.46 : x
  2. Step 2: Convert to fraction form
    17,642.43/24,348.49 = 10,089.46/x
  3. Step 3: Cross multiply
    17,642.43x = 24,348.49 × 10,089.46
  4. Step 4: Simplify right side
    17,642.43x = 245,663,068.42
  5. Step 5: Solve for x
    x = 245,663,068.42/17,642.43
  6. Step 6: Final answer
    x = 13,924.56

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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.