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Finding the Fourth Proportional to 12,477.65, 17,218.89 and 6,812.19

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Solution

The fourth proportional to 12,477.65, 17,218.89 and 6,812.19 is: 9,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.65 : 17,218.89 = 6,812.19 : x
  2. Step 2: Convert to fraction form
    12,477.65/17,218.89 = 6,812.19/x
  3. Step 3: Cross multiply
    12,477.65x = 17,218.89 × 6,812.19
  4. Step 4: Simplify right side
    12,477.65x = 117,298,350.27
  5. Step 5: Solve for x
    x = 117,298,350.27/12,477.65
  6. Step 6: Final answer
    x = 9,400.68

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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.