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Finding the Fourth Proportional to 17,865.18, 24,652.17 and 10,313.95

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Solution

The fourth proportional to 17,865.18, 24,652.17 and 10,313.95 is: 14,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.18 : 24,652.17 = 10,313.95 : x
  2. Step 2: Convert to fraction form
    17,865.18/24,652.17 = 10,313.95/x
  3. Step 3: Cross multiply
    17,865.18x = 24,652.17 × 10,313.95
  4. Step 4: Simplify right side
    17,865.18x = 254,261,287.45
  5. Step 5: Solve for x
    x = 254,261,287.45/17,865.18
  6. Step 6: Final answer
    x = 14,232.22

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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.