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Finding the Fourth Proportional to 12,271.83, 16,935.53 and 6,966.87

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Solution

The fourth proportional to 12,271.83, 16,935.53 and 6,966.87 is: 9,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.83 : 16,935.53 = 6,966.87 : x
  2. Step 2: Convert to fraction form
    12,271.83/16,935.53 = 6,966.87/x
  3. Step 3: Cross multiply
    12,271.83x = 16,935.53 × 6,966.87
  4. Step 4: Simplify right side
    12,271.83x = 117,987,601.06
  5. Step 5: Solve for x
    x = 117,987,601.06/12,271.83
  6. Step 6: Final answer
    x = 9,614.51

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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.