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Finding the Fourth Proportional to 23,415.50, 32,309.54 and 13,344.08

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Solution

The fourth proportional to 23,415.50, 32,309.54 and 13,344.08 is: 18,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.50 : 32,309.54 = 13,344.08 : x
  2. Step 2: Convert to fraction form
    23,415.50/32,309.54 = 13,344.08/x
  3. Step 3: Cross multiply
    23,415.50x = 32,309.54 × 13,344.08
  4. Step 4: Simplify right side
    23,415.50x = 431,141,086.52
  5. Step 5: Solve for x
    x = 431,141,086.52/23,415.50
  6. Step 6: Final answer
    x = 18,412.64

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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.