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Finding the Fourth Proportional to 24,904, 34,368.06 and 13,726

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Solution

The fourth proportional to 24,904, 34,368.06 and 13,726 is: 18,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904 : 34,368.06 = 13,726 : x
  2. Step 2: Convert to fraction form
    24,904/34,368.06 = 13,726/x
  3. Step 3: Cross multiply
    24,904x = 34,368.06 × 13,726
  4. Step 4: Simplify right side
    24,904x = 471,735,991.56
  5. Step 5: Solve for x
    x = 471,735,991.56/24,904
  6. Step 6: Final answer
    x = 18,942.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.