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Finding the Fourth Proportional to 17,081.76, 23,575.14 and 10,011

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Solution

The fourth proportional to 17,081.76, 23,575.14 and 10,011 is: 13,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,081.76 : 23,575.14 = 10,011 : x
  2. Step 2: Convert to fraction form
    17,081.76/23,575.14 = 10,011/x
  3. Step 3: Cross multiply
    17,081.76x = 23,575.14 × 10,011
  4. Step 4: Simplify right side
    17,081.76x = 236,010,726.54
  5. Step 5: Solve for x
    x = 236,010,726.54/17,081.76
  6. Step 6: Final answer
    x = 13,816.53

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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.