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Finding the Fourth Proportional to 26,177, 36,123.98 and 15,566.40

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Solution

The fourth proportional to 26,177, 36,123.98 and 15,566.40 is: 21,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177 : 36,123.98 = 15,566.40 : x
  2. Step 2: Convert to fraction form
    26,177/36,123.98 = 15,566.40/x
  3. Step 3: Cross multiply
    26,177x = 36,123.98 × 15,566.40
  4. Step 4: Simplify right side
    26,177x = 562,320,322.27
  5. Step 5: Solve for x
    x = 562,320,322.27/26,177
  6. Step 6: Final answer
    x = 21,481.47

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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.