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Finding the Fourth Proportional to 26,492.78, 39,739.14 and 8,024.78

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Solution

The fourth proportional to 26,492.78, 39,739.14 and 8,024.78 is: 12,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.78 : 39,739.14 = 8,024.78 : x
  2. Step 2: Convert to fraction form
    26,492.78/39,739.14 = 8,024.78/x
  3. Step 3: Cross multiply
    26,492.78x = 39,739.14 × 8,024.78
  4. Step 4: Simplify right side
    26,492.78x = 318,897,855.89
  5. Step 5: Solve for x
    x = 318,897,855.89/26,492.78
  6. Step 6: Final answer
    x = 12,037.16

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1.5x scale

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.