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Finding the Fourth Proportional to 26,117.36, 36,041.92 and 14,181

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Solution

The fourth proportional to 26,117.36, 36,041.92 and 14,181 is: 19,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,117.36 : 36,041.92 = 14,181 : x
  2. Step 2: Convert to fraction form
    26,117.36/36,041.92 = 14,181/x
  3. Step 3: Cross multiply
    26,117.36x = 36,041.92 × 14,181
  4. Step 4: Simplify right side
    26,117.36x = 511,110,467.52
  5. Step 5: Solve for x
    x = 511,110,467.52/26,117.36
  6. Step 6: Final answer
    x = 19,569.76

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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.