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Finding the Fourth Proportional to 12,565.26, 18,842.09 and 11,580.30

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Solution

The fourth proportional to 12,565.26, 18,842.09 and 11,580.30 is: 17,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.26 : 18,842.09 = 11,580.30 : x
  2. Step 2: Convert to fraction form
    12,565.26/18,842.09 = 11,580.30/x
  3. Step 3: Cross multiply
    12,565.26x = 18,842.09 × 11,580.30
  4. Step 4: Simplify right side
    12,565.26x = 218,196,996.93
  5. Step 5: Solve for x
    x = 218,196,996.93/12,565.26
  6. Step 6: Final answer
    x = 17,365.10

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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.