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Finding the Fourth Proportional to 17,676, 24,397.28 and 10,228.32

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Solution

The fourth proportional to 17,676, 24,397.28 and 10,228.32 is: 14,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676 : 24,397.28 = 10,228.32 : x
  2. Step 2: Convert to fraction form
    17,676/24,397.28 = 10,228.32/x
  3. Step 3: Cross multiply
    17,676x = 24,397.28 × 10,228.32
  4. Step 4: Simplify right side
    17,676x = 249,543,186.97
  5. Step 5: Solve for x
    x = 249,543,186.97/17,676
  6. Step 6: Final answer
    x = 14,117.63

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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.