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Finding the Fourth Proportional to 12,124.61, 16,731.80 and 6,819.43

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Solution

The fourth proportional to 12,124.61, 16,731.80 and 6,819.43 is: 9,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.61 : 16,731.80 = 6,819.43 : x
  2. Step 2: Convert to fraction form
    12,124.61/16,731.80 = 6,819.43/x
  3. Step 3: Cross multiply
    12,124.61x = 16,731.80 × 6,819.43
  4. Step 4: Simplify right side
    12,124.61x = 114,101,338.87
  5. Step 5: Solve for x
    x = 114,101,338.87/12,124.61
  6. Step 6: Final answer
    x = 9,410.72

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