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Finding the Fourth Proportional to 26,143.65, 36,077.27 and 14,206.72

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Solution

The fourth proportional to 26,143.65, 36,077.27 and 14,206.72 is: 19,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143.65 : 36,077.27 = 14,206.72 : x
  2. Step 2: Convert to fraction form
    26,143.65/36,077.27 = 14,206.72/x
  3. Step 3: Cross multiply
    26,143.65x = 36,077.27 × 14,206.72
  4. Step 4: Simplify right side
    26,143.65x = 512,539,673.25
  5. Step 5: Solve for x
    x = 512,539,673.25/26,143.65
  6. Step 6: Final answer
    x = 19,604.75

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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.