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Finding the Fourth Proportional to 26,207.50, 36,167.16 and 15,029.50

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Solution

The fourth proportional to 26,207.50, 36,167.16 and 15,029.50 is: 20,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,207.50 : 36,167.16 = 15,029.50 : x
  2. Step 2: Convert to fraction form
    26,207.50/36,167.16 = 15,029.50/x
  3. Step 3: Cross multiply
    26,207.50x = 36,167.16 × 15,029.50
  4. Step 4: Simplify right side
    26,207.50x = 543,574,331.22
  5. Step 5: Solve for x
    x = 543,574,331.22/26,207.50
  6. Step 6: Final answer
    x = 20,741.17

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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.