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Finding the Fourth Proportional to 12,818.65, 19,212.90 and 5,790.46

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Solution

The fourth proportional to 12,818.65, 19,212.90 and 5,790.46 is: 8,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.65 : 19,212.90 = 5,790.46 : x
  2. Step 2: Convert to fraction form
    12,818.65/19,212.90 = 5,790.46/x
  3. Step 3: Cross multiply
    12,818.65x = 19,212.90 × 5,790.46
  4. Step 4: Simplify right side
    12,818.65x = 111,251,528.93
  5. Step 5: Solve for x
    x = 111,251,528.93/12,818.65
  6. Step 6: Final answer
    x = 8,678.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.