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Finding the Fourth Proportional to 26,750.29, 40,129.99 and 9,216.02

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Solution

The fourth proportional to 26,750.29, 40,129.99 and 9,216.02 is: 13,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,750.29 : 40,129.99 = 9,216.02 : x
  2. Step 2: Convert to fraction form
    26,750.29/40,129.99 = 9,216.02/x
  3. Step 3: Cross multiply
    26,750.29x = 40,129.99 × 9,216.02
  4. Step 4: Simplify right side
    26,750.29x = 369,838,790.44
  5. Step 5: Solve for x
    x = 369,838,790.44/26,750.29
  6. Step 6: Final answer
    x = 13,825.60

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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.