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Finding the Fourth Proportional to 17,726.66, 24,462.84 and 9,768.70

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Solution

The fourth proportional to 17,726.66, 24,462.84 and 9,768.70 is: 13,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.66 : 24,462.84 = 9,768.70 : x
  2. Step 2: Convert to fraction form
    17,726.66/24,462.84 = 9,768.70/x
  3. Step 3: Cross multiply
    17,726.66x = 24,462.84 × 9,768.70
  4. Step 4: Simplify right side
    17,726.66x = 238,970,145.11
  5. Step 5: Solve for x
    x = 238,970,145.11/17,726.66
  6. Step 6: Final answer
    x = 13,480.83

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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.