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Finding the Fourth Proportional to 26,993, 40,503.36 and 15,160.16

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Solution

The fourth proportional to 26,993, 40,503.36 and 15,160.16 is: 22,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,993 : 40,503.36 = 15,160.16 : x
  2. Step 2: Convert to fraction form
    26,993/40,503.36 = 15,160.16/x
  3. Step 3: Cross multiply
    26,993x = 40,503.36 × 15,160.16
  4. Step 4: Simplify right side
    26,993x = 614,037,418.14
  5. Step 5: Solve for x
    x = 614,037,418.14/26,993
  6. Step 6: Final answer
    x = 22,748.02

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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.