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Finding the Fourth Proportional to 16,015.68, 22,098.24 and 9,298.08

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Solution

The fourth proportional to 16,015.68, 22,098.24 and 9,298.08 is: 12,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.68 : 22,098.24 = 9,298.08 : x
  2. Step 2: Convert to fraction form
    16,015.68/22,098.24 = 9,298.08/x
  3. Step 3: Cross multiply
    16,015.68x = 22,098.24 × 9,298.08
  4. Step 4: Simplify right side
    16,015.68x = 205,471,203.38
  5. Step 5: Solve for x
    x = 205,471,203.38/16,015.68
  6. Step 6: Final answer
    x = 12,829.38

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Why These Related Problems?

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