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Finding the Fourth Proportional to 10,224.36, 15,315.84 and 9,693

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Solution

The fourth proportional to 10,224.36, 15,315.84 and 9,693 is: 14,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.36 : 15,315.84 = 9,693 : x
  2. Step 2: Convert to fraction form
    10,224.36/15,315.84 = 9,693/x
  3. Step 3: Cross multiply
    10,224.36x = 15,315.84 × 9,693
  4. Step 4: Simplify right side
    10,224.36x = 148,456,437.12
  5. Step 5: Solve for x
    x = 148,456,437.12/10,224.36
  6. Step 6: Final answer
    x = 14,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.