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Finding the Fourth Proportional to 15,720.53, 21,693.98 and 8,646.80

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Solution

The fourth proportional to 15,720.53, 21,693.98 and 8,646.80 is: 11,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.53 : 21,693.98 = 8,646.80 : x
  2. Step 2: Convert to fraction form
    15,720.53/21,693.98 = 8,646.80/x
  3. Step 3: Cross multiply
    15,720.53x = 21,693.98 × 8,646.80
  4. Step 4: Simplify right side
    15,720.53x = 187,583,463.03
  5. Step 5: Solve for x
    x = 187,583,463.03/15,720.53
  6. Step 6: Final answer
    x = 11,932.39

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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.