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Finding the Fourth Proportional to 15,382.36, 21,229.14 and 9,793

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Solution

The fourth proportional to 15,382.36, 21,229.14 and 9,793 is: 13,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.36 : 21,229.14 = 9,793 : x
  2. Step 2: Convert to fraction form
    15,382.36/21,229.14 = 9,793/x
  3. Step 3: Cross multiply
    15,382.36x = 21,229.14 × 9,793
  4. Step 4: Simplify right side
    15,382.36x = 207,896,968.02
  5. Step 5: Solve for x
    x = 207,896,968.02/15,382.36
  6. Step 6: Final answer
    x = 13,515.28

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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.