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Finding the Fourth Proportional to 17,781.40, 26,673.40 and 6,094.52

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Solution

The fourth proportional to 17,781.40, 26,673.40 and 6,094.52 is: 9,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.40 : 26,673.40 = 6,094.52 : x
  2. Step 2: Convert to fraction form
    17,781.40/26,673.40 = 6,094.52/x
  3. Step 3: Cross multiply
    17,781.40x = 26,673.40 × 6,094.52
  4. Step 4: Simplify right side
    17,781.40x = 162,561,569.77
  5. Step 5: Solve for x
    x = 162,561,569.77/17,781.40
  6. Step 6: Final answer
    x = 9,142.23

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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.