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Finding the Fourth Proportional to 23,494.40, 32,405.28 and 19,952

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Solution

The fourth proportional to 23,494.40, 32,405.28 and 19,952 is: 27,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.40 : 32,405.28 = 19,952 : x
  2. Step 2: Convert to fraction form
    23,494.40/32,405.28 = 19,952/x
  3. Step 3: Cross multiply
    23,494.40x = 32,405.28 × 19,952
  4. Step 4: Simplify right side
    23,494.40x = 646,550,146.56
  5. Step 5: Solve for x
    x = 646,550,146.56/23,494.40
  6. Step 6: Final answer
    x = 27,519.33

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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.