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Finding the Fourth Proportional to 12,225.65, 16,847.21 and 8,678.93

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Solution

The fourth proportional to 12,225.65, 16,847.21 and 8,678.93 is: 11,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.65 : 16,847.21 = 8,678.93 : x
  2. Step 2: Convert to fraction form
    12,225.65/16,847.21 = 8,678.93/x
  3. Step 3: Cross multiply
    12,225.65x = 16,847.21 × 8,678.93
  4. Step 4: Simplify right side
    12,225.65x = 146,215,712.89
  5. Step 5: Solve for x
    x = 146,215,712.89/12,225.65
  6. Step 6: Final answer
    x = 11,959.75

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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.