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Finding the Fourth Proportional to 17,931.92, 24,744.70 and 10,378.28

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Solution

The fourth proportional to 17,931.92, 24,744.70 and 10,378.28 is: 14,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.92 : 24,744.70 = 10,378.28 : x
  2. Step 2: Convert to fraction form
    17,931.92/24,744.70 = 10,378.28/x
  3. Step 3: Cross multiply
    17,931.92x = 24,744.70 × 10,378.28
  4. Step 4: Simplify right side
    17,931.92x = 256,807,425.12
  5. Step 5: Solve for x
    x = 256,807,425.12/17,931.92
  6. Step 6: Final answer
    x = 14,321.25

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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.