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Finding the Fourth Proportional to 23,425.19, 32,326.86 and 12,815

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Solution

The fourth proportional to 23,425.19, 32,326.86 and 12,815 is: 17,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.19 : 32,326.86 = 12,815 : x
  2. Step 2: Convert to fraction form
    23,425.19/32,326.86 = 12,815/x
  3. Step 3: Cross multiply
    23,425.19x = 32,326.86 × 12,815
  4. Step 4: Simplify right side
    23,425.19x = 414,268,710.90
  5. Step 5: Solve for x
    x = 414,268,710.90/23,425.19
  6. Step 6: Final answer
    x = 17,684.75

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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.