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Finding the Fourth Proportional to 12,271.50, 16,933.32 and 6,966.36

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Solution

The fourth proportional to 12,271.50, 16,933.32 and 6,966.36 is: 9,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 16,933.32 = 6,966.36 : x
  2. Step 2: Convert to fraction form
    12,271.50/16,933.32 = 6,966.36/x
  3. Step 3: Cross multiply
    12,271.50x = 16,933.32 × 6,966.36
  4. Step 4: Simplify right side
    12,271.50x = 117,963,603.12
  5. Step 5: Solve for x
    x = 117,963,603.12/12,271.50
  6. Step 6: Final answer
    x = 9,612.81

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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.