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Finding the Fourth Proportional to 26,520.16, 36,593.76 and 15,340

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Solution

The fourth proportional to 26,520.16, 36,593.76 and 15,340 is: 21,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,520.16 : 36,593.76 = 15,340 : x
  2. Step 2: Convert to fraction form
    26,520.16/36,593.76 = 15,340/x
  3. Step 3: Cross multiply
    26,520.16x = 36,593.76 × 15,340
  4. Step 4: Simplify right side
    26,520.16x = 561,348,278.40
  5. Step 5: Solve for x
    x = 561,348,278.40/26,520.16
  6. Step 6: Final answer
    x = 21,166.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.