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Finding the Fourth Proportional to 23,449.68, 32,357.88 and 13,378.32

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Solution

The fourth proportional to 23,449.68, 32,357.88 and 13,378.32 is: 18,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.68 : 32,357.88 = 13,378.32 : x
  2. Step 2: Convert to fraction form
    23,449.68/32,357.88 = 13,378.32/x
  3. Step 3: Cross multiply
    23,449.68x = 32,357.88 × 13,378.32
  4. Step 4: Simplify right side
    23,449.68x = 432,894,073.16
  5. Step 5: Solve for x
    x = 432,894,073.16/23,449.68
  6. Step 6: Final answer
    x = 18,460.55

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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.