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Finding the Fourth Proportional to 16,903.22, 25,358.22 and 5,216

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Solution

The fourth proportional to 16,903.22, 25,358.22 and 5,216 is: 7,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,903.22 : 25,358.22 = 5,216 : x
  2. Step 2: Convert to fraction form
    16,903.22/25,358.22 = 5,216/x
  3. Step 3: Cross multiply
    16,903.22x = 25,358.22 × 5,216
  4. Step 4: Simplify right side
    16,903.22x = 132,268,475.52
  5. Step 5: Solve for x
    x = 132,268,475.52/16,903.22
  6. Step 6: Final answer
    x = 7,825.05

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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.