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Finding the Fourth Proportional to 23,412.49, 35,063.25 and 13,422.66

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Solution

The fourth proportional to 23,412.49, 35,063.25 and 13,422.66 is: 20,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.49 : 35,063.25 = 13,422.66 : x
  2. Step 2: Convert to fraction form
    23,412.49/35,063.25 = 13,422.66/x
  3. Step 3: Cross multiply
    23,412.49x = 35,063.25 × 13,422.66
  4. Step 4: Simplify right side
    23,412.49x = 470,642,098.65
  5. Step 5: Solve for x
    x = 470,642,098.65/23,412.49
  6. Step 6: Final answer
    x = 20,102.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.