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Finding the Fourth Proportional to 17,920.04, 24,732.71 and 10,371

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Solution

The fourth proportional to 17,920.04, 24,732.71 and 10,371 is: 14,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.04 : 24,732.71 = 10,371 : x
  2. Step 2: Convert to fraction form
    17,920.04/24,732.71 = 10,371/x
  3. Step 3: Cross multiply
    17,920.04x = 24,732.71 × 10,371
  4. Step 4: Simplify right side
    17,920.04x = 256,502,883.56
  5. Step 5: Solve for x
    x = 256,502,883.56/17,920.04
  6. Step 6: Final answer
    x = 14,313.75

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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.