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Finding the Fourth Proportional to 23,454.96, 32,366.16 and 12,842.88

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Solution

The fourth proportional to 23,454.96, 32,366.16 and 12,842.88 is: 17,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.96 : 32,366.16 = 12,842.88 : x
  2. Step 2: Convert to fraction form
    23,454.96/32,366.16 = 12,842.88/x
  3. Step 3: Cross multiply
    23,454.96x = 32,366.16 × 12,842.88
  4. Step 4: Simplify right side
    23,454.96x = 415,674,708.94
  5. Step 5: Solve for x
    x = 415,674,708.94/23,454.96
  6. Step 6: Final answer
    x = 17,722.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.