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Finding the Fourth Proportional to 24,358.16, 33,620.76 and 13,754

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Solution

The fourth proportional to 24,358.16, 33,620.76 and 13,754 is: 18,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.16 : 33,620.76 = 13,754 : x
  2. Step 2: Convert to fraction form
    24,358.16/33,620.76 = 13,754/x
  3. Step 3: Cross multiply
    24,358.16x = 33,620.76 × 13,754
  4. Step 4: Simplify right side
    24,358.16x = 462,419,933.04
  5. Step 5: Solve for x
    x = 462,419,933.04/24,358.16
  6. Step 6: Final answer
    x = 18,984.19

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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.