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Finding the Fourth Proportional to 16,298.38, 22,484.52 and 10,631.82

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Solution

The fourth proportional to 16,298.38, 22,484.52 and 10,631.82 is: 14,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.38 : 22,484.52 = 10,631.82 : x
  2. Step 2: Convert to fraction form
    16,298.38/22,484.52 = 10,631.82/x
  3. Step 3: Cross multiply
    16,298.38x = 22,484.52 × 10,631.82
  4. Step 4: Simplify right side
    16,298.38x = 239,051,403.74
  5. Step 5: Solve for x
    x = 239,051,403.74/16,298.38
  6. Step 6: Final answer
    x = 14,667.19

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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.