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Finding the Fourth Proportional to 24,904, 34,367.76 and 13,726.24

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Solution

The fourth proportional to 24,904, 34,367.76 and 13,726.24 is: 18,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904 : 34,367.76 = 13,726.24 : x
  2. Step 2: Convert to fraction form
    24,904/34,367.76 = 13,726.24/x
  3. Step 3: Cross multiply
    24,904x = 34,367.76 × 13,726.24
  4. Step 4: Simplify right side
    24,904x = 471,740,122.02
  5. Step 5: Solve for x
    x = 471,740,122.02/24,904
  6. Step 6: Final answer
    x = 18,942.34

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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.