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Finding the Fourth Proportional to 23,470.25, 32,389.34 and 12,860.46

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Solution

The fourth proportional to 23,470.25, 32,389.34 and 12,860.46 is: 17,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.25 : 32,389.34 = 12,860.46 : x
  2. Step 2: Convert to fraction form
    23,470.25/32,389.34 = 12,860.46/x
  3. Step 3: Cross multiply
    23,470.25x = 32,389.34 × 12,860.46
  4. Step 4: Simplify right side
    23,470.25x = 416,541,747.19
  5. Step 5: Solve for x
    x = 416,541,747.19/23,470.25
  6. Step 6: Final answer
    x = 17,747.65

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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.