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Finding the Fourth Proportional to 15,720.84, 21,694.92 and 8,647.32

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Solution

The fourth proportional to 15,720.84, 21,694.92 and 8,647.32 is: 11,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.84 : 21,694.92 = 8,647.32 : x
  2. Step 2: Convert to fraction form
    15,720.84/21,694.92 = 8,647.32/x
  3. Step 3: Cross multiply
    15,720.84x = 21,694.92 × 8,647.32
  4. Step 4: Simplify right side
    15,720.84x = 187,602,915.61
  5. Step 5: Solve for x
    x = 187,602,915.61/15,720.84
  6. Step 6: Final answer
    x = 11,933.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.