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Finding the Fourth Proportional to 17,534.66, 26,292.65 and 7,662.38

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Solution

The fourth proportional to 17,534.66, 26,292.65 and 7,662.38 is: 11,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.66 : 26,292.65 = 7,662.38 : x
  2. Step 2: Convert to fraction form
    17,534.66/26,292.65 = 7,662.38/x
  3. Step 3: Cross multiply
    17,534.66x = 26,292.65 × 7,662.38
  4. Step 4: Simplify right side
    17,534.66x = 201,464,302.93
  5. Step 5: Solve for x
    x = 201,464,302.93/17,534.66
  6. Step 6: Final answer
    x = 11,489.49

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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.