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Finding the Fourth Proportional to 16,275.10, 22,459.52 and 9,201.52

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Solution

The fourth proportional to 16,275.10, 22,459.52 and 9,201.52 is: 12,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.10 : 22,459.52 = 9,201.52 : x
  2. Step 2: Convert to fraction form
    16,275.10/22,459.52 = 9,201.52/x
  3. Step 3: Cross multiply
    16,275.10x = 22,459.52 × 9,201.52
  4. Step 4: Simplify right side
    16,275.10x = 206,661,722.47
  5. Step 5: Solve for x
    x = 206,661,722.47/16,275.10
  6. Step 6: Final answer
    x = 12,698.03

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