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Finding the Fourth Proportional to 12,232.18, 16,880.07 and 6,643.18

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Solution

The fourth proportional to 12,232.18, 16,880.07 and 6,643.18 is: 9,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.18 : 16,880.07 = 6,643.18 : x
  2. Step 2: Convert to fraction form
    12,232.18/16,880.07 = 6,643.18/x
  3. Step 3: Cross multiply
    12,232.18x = 16,880.07 × 6,643.18
  4. Step 4: Simplify right side
    12,232.18x = 112,137,343.42
  5. Step 5: Solve for x
    x = 112,137,343.42/12,232.18
  6. Step 6: Final answer
    x = 9,167.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.