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Finding the Fourth Proportional to 17,534.44, 26,301.66 and 7,669

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Solution

The fourth proportional to 17,534.44, 26,301.66 and 7,669 is: 11,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.44 : 26,301.66 = 7,669 : x
  2. Step 2: Convert to fraction form
    17,534.44/26,301.66 = 7,669/x
  3. Step 3: Cross multiply
    17,534.44x = 26,301.66 × 7,669
  4. Step 4: Simplify right side
    17,534.44x = 201,707,430.54
  5. Step 5: Solve for x
    x = 201,707,430.54/17,534.44
  6. Step 6: Final answer
    x = 11,503.50

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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.