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Finding the Fourth Proportional to 23,365.69, 32,244.36 and 13,294.10

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Solution

The fourth proportional to 23,365.69, 32,244.36 and 13,294.10 is: 18,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365.69 : 32,244.36 = 13,294.10 : x
  2. Step 2: Convert to fraction form
    23,365.69/32,244.36 = 13,294.10/x
  3. Step 3: Cross multiply
    23,365.69x = 32,244.36 × 13,294.10
  4. Step 4: Simplify right side
    23,365.69x = 428,659,777.03
  5. Step 5: Solve for x
    x = 428,659,777.03/23,365.69
  6. Step 6: Final answer
    x = 18,345.70

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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.