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Finding the Fourth Proportional to 15,717.48, 21,689.76 and 8,643.84

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Solution

The fourth proportional to 15,717.48, 21,689.76 and 8,643.84 is: 11,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.48 : 21,689.76 = 8,643.84 : x
  2. Step 2: Convert to fraction form
    15,717.48/21,689.76 = 8,643.84/x
  3. Step 3: Cross multiply
    15,717.48x = 21,689.76 × 8,643.84
  4. Step 4: Simplify right side
    15,717.48x = 187,482,815.08
  5. Step 5: Solve for x
    x = 187,482,815.08/15,717.48
  6. Step 6: Final answer
    x = 11,928.30

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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.