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Finding the Fourth Proportional to 12,812.65, 19,228.70 and 8,642.77

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Solution

The fourth proportional to 12,812.65, 19,228.70 and 8,642.77 is: 12,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.65 : 19,228.70 = 8,642.77 : x
  2. Step 2: Convert to fraction form
    12,812.65/19,228.70 = 8,642.77/x
  3. Step 3: Cross multiply
    12,812.65x = 19,228.70 × 8,642.77
  4. Step 4: Simplify right side
    12,812.65x = 166,189,231.50
  5. Step 5: Solve for x
    x = 166,189,231.50/12,812.65
  6. Step 6: Final answer
    x = 12,970.71

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Why These Related Problems?

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