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Finding the Fourth Proportional to 17,432.28, 24,017.76 and 11,453.40

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Solution

The fourth proportional to 17,432.28, 24,017.76 and 11,453.40 is: 15,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.28 : 24,017.76 = 11,453.40 : x
  2. Step 2: Convert to fraction form
    17,432.28/24,017.76 = 11,453.40/x
  3. Step 3: Cross multiply
    17,432.28x = 24,017.76 × 11,453.40
  4. Step 4: Simplify right side
    17,432.28x = 275,085,012.38
  5. Step 5: Solve for x
    x = 275,085,012.38/17,432.28
  6. Step 6: Final answer
    x = 15,780.21

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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.