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Finding the Fourth Proportional to 26,218, 36,182.82 and 16,143.94

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Solution

The fourth proportional to 26,218, 36,182.82 and 16,143.94 is: 22,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,218 : 36,182.82 = 16,143.94 : x
  2. Step 2: Convert to fraction form
    26,218/36,182.82 = 16,143.94/x
  3. Step 3: Cross multiply
    26,218x = 36,182.82 × 16,143.94
  4. Step 4: Simplify right side
    26,218x = 584,133,275.11
  5. Step 5: Solve for x
    x = 584,133,275.11/26,218
  6. Step 6: Final answer
    x = 22,279.86

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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.