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Finding the Fourth Proportional to 17,726.96, 24,462.30 and 9,769

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Solution

The fourth proportional to 17,726.96, 24,462.30 and 9,769 is: 13,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.96 : 24,462.30 = 9,769 : x
  2. Step 2: Convert to fraction form
    17,726.96/24,462.30 = 9,769/x
  3. Step 3: Cross multiply
    17,726.96x = 24,462.30 × 9,769
  4. Step 4: Simplify right side
    17,726.96x = 238,972,208.70
  5. Step 5: Solve for x
    x = 238,972,208.70/17,726.96
  6. Step 6: Final answer
    x = 13,480.72

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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.