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Finding the Fourth Proportional to 12,143.31, 16,757.83 and 7,106.55

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Solution

The fourth proportional to 12,143.31, 16,757.83 and 7,106.55 is: 9,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.31 : 16,757.83 = 7,106.55 : x
  2. Step 2: Convert to fraction form
    12,143.31/16,757.83 = 7,106.55/x
  3. Step 3: Cross multiply
    12,143.31x = 16,757.83 × 7,106.55
  4. Step 4: Simplify right side
    12,143.31x = 119,090,356.79
  5. Step 5: Solve for x
    x = 119,090,356.79/12,143.31
  6. Step 6: Final answer
    x = 9,807.08

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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.