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Finding the Fourth Proportional to 17,703.22, 24,432.78 and 11,433.82

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Solution

The fourth proportional to 17,703.22, 24,432.78 and 11,433.82 is: 15,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.22 : 24,432.78 = 11,433.82 : x
  2. Step 2: Convert to fraction form
    17,703.22/24,432.78 = 11,433.82/x
  3. Step 3: Cross multiply
    17,703.22x = 24,432.78 × 11,433.82
  4. Step 4: Simplify right side
    17,703.22x = 279,360,008.62
  5. Step 5: Solve for x
    x = 279,360,008.62/17,703.22
  6. Step 6: Final answer
    x = 15,780.18

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1.5x scale

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.