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Finding the Fourth Proportional to 17,670.96, 26,448.12 and 15,726.96

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Solution

The fourth proportional to 17,670.96, 26,448.12 and 15,726.96 is: 23,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.96 : 26,448.12 = 15,726.96 : x
  2. Step 2: Convert to fraction form
    17,670.96/26,448.12 = 15,726.96/x
  3. Step 3: Cross multiply
    17,670.96x = 26,448.12 × 15,726.96
  4. Step 4: Simplify right side
    17,670.96x = 415,948,525.32
  5. Step 5: Solve for x
    x = 415,948,525.32/17,670.96
  6. Step 6: Final answer
    x = 23,538.54

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Why These Related Problems?

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