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Finding the Fourth Proportional to 17,862.87, 26,792.41 and 7,334

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Solution

The fourth proportional to 17,862.87, 26,792.41 and 7,334 is: 11,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.87 : 26,792.41 = 7,334 : x
  2. Step 2: Convert to fraction form
    17,862.87/26,792.41 = 7,334/x
  3. Step 3: Cross multiply
    17,862.87x = 26,792.41 × 7,334
  4. Step 4: Simplify right side
    17,862.87x = 196,495,534.94
  5. Step 5: Solve for x
    x = 196,495,534.94/17,862.87
  6. Step 6: Final answer
    x = 11,000.22

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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.