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Finding the Fourth Proportional to 14,478.92, 21,718.59 and 5,713.75

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Solution

The fourth proportional to 14,478.92, 21,718.59 and 5,713.75 is: 8,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.92 : 21,718.59 = 5,713.75 : x
  2. Step 2: Convert to fraction form
    14,478.92/21,718.59 = 5,713.75/x
  3. Step 3: Cross multiply
    14,478.92x = 21,718.59 × 5,713.75
  4. Step 4: Simplify right side
    14,478.92x = 124,094,593.61
  5. Step 5: Solve for x
    x = 124,094,593.61/14,478.92
  6. Step 6: Final answer
    x = 8,570.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.