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Finding the Fourth Proportional to 23,419.26, 32,319.42 and 13,349.22

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Solution

The fourth proportional to 23,419.26, 32,319.42 and 13,349.22 is: 18,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.26 : 32,319.42 = 13,349.22 : x
  2. Step 2: Convert to fraction form
    23,419.26/32,319.42 = 13,349.22/x
  3. Step 3: Cross multiply
    23,419.26x = 32,319.42 × 13,349.22
  4. Step 4: Simplify right side
    23,419.26x = 431,439,047.85
  5. Step 5: Solve for x
    x = 431,439,047.85/23,419.26
  6. Step 6: Final answer
    x = 18,422.40

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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.