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Finding the Fourth Proportional to 26,077.68, 35,986.92 and 14,140.72

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Solution

The fourth proportional to 26,077.68, 35,986.92 and 14,140.72 is: 19,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,077.68 : 35,986.92 = 14,140.72 : x
  2. Step 2: Convert to fraction form
    26,077.68/35,986.92 = 14,140.72/x
  3. Step 3: Cross multiply
    26,077.68x = 35,986.92 × 14,140.72
  4. Step 4: Simplify right side
    26,077.68x = 508,880,959.38
  5. Step 5: Solve for x
    x = 508,880,959.38/26,077.68
  6. Step 6: Final answer
    x = 19,514.04

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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.