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Finding the Fourth Proportional to 12,181.20, 16,809.76 and 6,875.76

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Solution

The fourth proportional to 12,181.20, 16,809.76 and 6,875.76 is: 9,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.20 : 16,809.76 = 6,875.76 : x
  2. Step 2: Convert to fraction form
    12,181.20/16,809.76 = 6,875.76/x
  3. Step 3: Cross multiply
    12,181.20x = 16,809.76 × 6,875.76
  4. Step 4: Simplify right side
    12,181.20x = 115,579,875.42
  5. Step 5: Solve for x
    x = 115,579,875.42/12,181.20
  6. Step 6: Final answer
    x = 9,488.38

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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.