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Finding the Fourth Proportional to 17,726.30, 24,462.84 and 10,174.01

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Solution

The fourth proportional to 17,726.30, 24,462.84 and 10,174.01 is: 14,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.30 : 24,462.84 = 10,174.01 : x
  2. Step 2: Convert to fraction form
    17,726.30/24,462.84 = 10,174.01/x
  3. Step 3: Cross multiply
    17,726.30x = 24,462.84 × 10,174.01
  4. Step 4: Simplify right side
    17,726.30x = 248,885,056.47
  5. Step 5: Solve for x
    x = 248,885,056.47/17,726.30
  6. Step 6: Final answer
    x = 14,040.44

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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.