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Finding the Fourth Proportional to 26,041.50, 35,942.13 and 14,863.50

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Solution

The fourth proportional to 26,041.50, 35,942.13 and 14,863.50 is: 20,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041.50 : 35,942.13 = 14,863.50 : x
  2. Step 2: Convert to fraction form
    26,041.50/35,942.13 = 14,863.50/x
  3. Step 3: Cross multiply
    26,041.50x = 35,942.13 × 14,863.50
  4. Step 4: Simplify right side
    26,041.50x = 534,225,849.26
  5. Step 5: Solve for x
    x = 534,225,849.26/26,041.50
  6. Step 6: Final answer
    x = 20,514.40

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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.