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Finding the Fourth Proportional to 12,232.72, 16,881.24 and 6,643.72

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Solution

The fourth proportional to 12,232.72, 16,881.24 and 6,643.72 is: 9,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.72 : 16,881.24 = 6,643.72 : x
  2. Step 2: Convert to fraction form
    12,232.72/16,881.24 = 6,643.72/x
  3. Step 3: Cross multiply
    12,232.72x = 16,881.24 × 6,643.72
  4. Step 4: Simplify right side
    12,232.72x = 112,154,231.81
  5. Step 5: Solve for x
    x = 112,154,231.81/12,232.72
  6. Step 6: Final answer
    x = 9,168.38

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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.