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Finding the Fourth Proportional to 23,290.97, 32,141.66 and 12,680.57

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Solution

The fourth proportional to 23,290.97, 32,141.66 and 12,680.57 is: 17,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.97 : 32,141.66 = 12,680.57 : x
  2. Step 2: Convert to fraction form
    23,290.97/32,141.66 = 12,680.57/x
  3. Step 3: Cross multiply
    23,290.97x = 32,141.66 × 12,680.57
  4. Step 4: Simplify right side
    23,290.97x = 407,574,345.44
  5. Step 5: Solve for x
    x = 407,574,345.44/23,290.97
  6. Step 6: Final answer
    x = 17,499.25

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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.