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Finding the Fourth Proportional to 17,726.42, 26,595.10 and 7,864.88

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Solution

The fourth proportional to 17,726.42, 26,595.10 and 7,864.88 is: 11,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.42 : 26,595.10 = 7,864.88 : x
  2. Step 2: Convert to fraction form
    17,726.42/26,595.10 = 7,864.88/x
  3. Step 3: Cross multiply
    17,726.42x = 26,595.10 × 7,864.88
  4. Step 4: Simplify right side
    17,726.42x = 209,167,270.09
  5. Step 5: Solve for x
    x = 209,167,270.09/17,726.42
  6. Step 6: Final answer
    x = 11,799.75

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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.