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Finding the Fourth Proportional to 12,232.32, 16,880.50 and 6,643.32

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Solution

The fourth proportional to 12,232.32, 16,880.50 and 6,643.32 is: 9,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.32 : 16,880.50 = 6,643.32 : x
  2. Step 2: Convert to fraction form
    12,232.32/16,880.50 = 6,643.32/x
  3. Step 3: Cross multiply
    12,232.32x = 16,880.50 × 6,643.32
  4. Step 4: Simplify right side
    12,232.32x = 112,142,508.26
  5. Step 5: Solve for x
    x = 112,142,508.26/12,232.32
  6. Step 6: Final answer
    x = 9,167.72

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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.