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Finding the Fourth Proportional to 23,412.69, 32,310.53 and 13,207.15

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Solution

The fourth proportional to 23,412.69, 32,310.53 and 13,207.15 is: 18,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.69 : 32,310.53 = 13,207.15 : x
  2. Step 2: Convert to fraction form
    23,412.69/32,310.53 = 13,207.15/x
  3. Step 3: Cross multiply
    23,412.69x = 32,310.53 × 13,207.15
  4. Step 4: Simplify right side
    23,412.69x = 426,730,016.29
  5. Step 5: Solve for x
    x = 426,730,016.29/23,412.69
  6. Step 6: Final answer
    x = 18,226.44

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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.