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Finding the Fourth Proportional to 12,232.47, 16,880.90 and 6,643.47

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Solution

The fourth proportional to 12,232.47, 16,880.90 and 6,643.47 is: 9,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.47 : 16,880.90 = 6,643.47 : x
  2. Step 2: Convert to fraction form
    12,232.47/16,880.90 = 6,643.47/x
  3. Step 3: Cross multiply
    12,232.47x = 16,880.90 × 6,643.47
  4. Step 4: Simplify right side
    12,232.47x = 112,147,719.51
  5. Step 5: Solve for x
    x = 112,147,719.51/12,232.47
  6. Step 6: Final answer
    x = 9,168.04

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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.