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Finding the Fourth Proportional to 15,997.49, 22,077.63 and 9,283.13

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Solution

The fourth proportional to 15,997.49, 22,077.63 and 9,283.13 is: 12,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.49 : 22,077.63 = 9,283.13 : x
  2. Step 2: Convert to fraction form
    15,997.49/22,077.63 = 9,283.13/x
  3. Step 3: Cross multiply
    15,997.49x = 22,077.63 × 9,283.13
  4. Step 4: Simplify right side
    15,997.49x = 204,949,509.38
  5. Step 5: Solve for x
    x = 204,949,509.38/15,997.49
  6. Step 6: Final answer
    x = 12,811.35

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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.