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Finding the Fourth Proportional to 23,425.60, 32,327.56 and 12,815

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Solution

The fourth proportional to 23,425.60, 32,327.56 and 12,815 is: 17,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.60 : 32,327.56 = 12,815 : x
  2. Step 2: Convert to fraction form
    23,425.60/32,327.56 = 12,815/x
  3. Step 3: Cross multiply
    23,425.60x = 32,327.56 × 12,815
  4. Step 4: Simplify right side
    23,425.60x = 414,277,681.40
  5. Step 5: Solve for x
    x = 414,277,681.40/23,425.60
  6. Step 6: Final answer
    x = 17,684.83

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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.