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Finding the Fourth Proportional to 23,842.91, 32,909.19 and 13,777.19

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Solution

The fourth proportional to 23,842.91, 32,909.19 and 13,777.19 is: 19,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.91 : 32,909.19 = 13,777.19 : x
  2. Step 2: Convert to fraction form
    23,842.91/32,909.19 = 13,777.19/x
  3. Step 3: Cross multiply
    23,842.91x = 32,909.19 × 13,777.19
  4. Step 4: Simplify right side
    23,842.91x = 453,396,094.49
  5. Step 5: Solve for x
    x = 453,396,094.49/23,842.91
  6. Step 6: Final answer
    x = 19,015.98

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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.