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Finding the Fourth Proportional to 17,954, 26,931 and 6,264.08

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Solution

The fourth proportional to 17,954, 26,931 and 6,264.08 is: 9,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 26,931 = 6,264.08 : x
  2. Step 2: Convert to fraction form
    17,954/26,931 = 6,264.08/x
  3. Step 3: Cross multiply
    17,954x = 26,931 × 6,264.08
  4. Step 4: Simplify right side
    17,954x = 168,697,938.48
  5. Step 5: Solve for x
    x = 168,697,938.48/17,954
  6. Step 6: Final answer
    x = 9,396.12

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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.