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Finding the Fourth Proportional to 17,726.94, 24,462.18 and 9,769.14

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Solution

The fourth proportional to 17,726.94, 24,462.18 and 9,769.14 is: 13,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.94 : 24,462.18 = 9,769.14 : x
  2. Step 2: Convert to fraction form
    17,726.94/24,462.18 = 9,769.14/x
  3. Step 3: Cross multiply
    17,726.94x = 24,462.18 × 9,769.14
  4. Step 4: Simplify right side
    17,726.94x = 238,974,461.13
  5. Step 5: Solve for x
    x = 238,974,461.13/17,726.94
  6. Step 6: Final answer
    x = 13,480.86

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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.