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Finding the Fourth Proportional to 26,492.48, 39,744.48 and 8,024

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Solution

The fourth proportional to 26,492.48, 39,744.48 and 8,024 is: 12,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.48 : 39,744.48 = 8,024 : x
  2. Step 2: Convert to fraction form
    26,492.48/39,744.48 = 8,024/x
  3. Step 3: Cross multiply
    26,492.48x = 39,744.48 × 8,024
  4. Step 4: Simplify right side
    26,492.48x = 318,909,707.52
  5. Step 5: Solve for x
    x = 318,909,707.52/26,492.48
  6. Step 6: Final answer
    x = 12,037.74

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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.