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Finding the Fourth Proportional to 12,904.65, 17,812.20 and 8,429.10

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Solution

The fourth proportional to 12,904.65, 17,812.20 and 8,429.10 is: 11,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.65 : 17,812.20 = 8,429.10 : x
  2. Step 2: Convert to fraction form
    12,904.65/17,812.20 = 8,429.10/x
  3. Step 3: Cross multiply
    12,904.65x = 17,812.20 × 8,429.10
  4. Step 4: Simplify right side
    12,904.65x = 150,140,815.02
  5. Step 5: Solve for x
    x = 150,140,815.02/12,904.65
  6. Step 6: Final answer
    x = 11,634.63

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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.