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Finding the Fourth Proportional to 26,553.12, 39,829.98 and 9,024.31

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Solution

The fourth proportional to 26,553.12, 39,829.98 and 9,024.31 is: 13,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553.12 : 39,829.98 = 9,024.31 : x
  2. Step 2: Convert to fraction form
    26,553.12/39,829.98 = 9,024.31/x
  3. Step 3: Cross multiply
    26,553.12x = 39,829.98 × 9,024.31
  4. Step 4: Simplify right side
    26,553.12x = 359,438,119.68
  5. Step 5: Solve for x
    x = 359,438,119.68/26,553.12
  6. Step 6: Final answer
    x = 13,536.57

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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.