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Finding the Fourth Proportional to 12,484.18, 17,228.36 and 6,819.16

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Solution

The fourth proportional to 12,484.18, 17,228.36 and 6,819.16 is: 9,410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.18 : 17,228.36 = 6,819.16 : x
  2. Step 2: Convert to fraction form
    12,484.18/17,228.36 = 6,819.16/x
  3. Step 3: Cross multiply
    12,484.18x = 17,228.36 × 6,819.16
  4. Step 4: Simplify right side
    12,484.18x = 117,482,943.38
  5. Step 5: Solve for x
    x = 117,482,943.38/12,484.18
  6. Step 6: Final answer
    x = 9,410.55

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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.