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Finding the Fourth Proportional to 26,842.16, 40,217.76 and 16,432.16

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Solution

The fourth proportional to 26,842.16, 40,217.76 and 16,432.16 is: 24,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.16 : 40,217.76 = 16,432.16 : x
  2. Step 2: Convert to fraction form
    26,842.16/40,217.76 = 16,432.16/x
  3. Step 3: Cross multiply
    26,842.16x = 40,217.76 × 16,432.16
  4. Step 4: Simplify right side
    26,842.16x = 660,864,667.16
  5. Step 5: Solve for x
    x = 660,864,667.16/26,842.16
  6. Step 6: Final answer
    x = 24,620.40

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