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Finding the Fourth Proportional to 17,502.75, 26,265.06 and 7,114.50

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Solution

The fourth proportional to 17,502.75, 26,265.06 and 7,114.50 is: 10,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.75 : 26,265.06 = 7,114.50 : x
  2. Step 2: Convert to fraction form
    17,502.75/26,265.06 = 7,114.50/x
  3. Step 3: Cross multiply
    17,502.75x = 26,265.06 × 7,114.50
  4. Step 4: Simplify right side
    17,502.75x = 186,862,769.37
  5. Step 5: Solve for x
    x = 186,862,769.37/17,502.75
  6. Step 6: Final answer
    x = 10,676.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.