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Finding the Fourth Proportional to 12,232.34, 16,880.33 and 7,196.88

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Solution

The fourth proportional to 12,232.34, 16,880.33 and 7,196.88 is: 9,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.34 : 16,880.33 = 7,196.88 : x
  2. Step 2: Convert to fraction form
    12,232.34/16,880.33 = 7,196.88/x
  3. Step 3: Cross multiply
    12,232.34x = 16,880.33 × 7,196.88
  4. Step 4: Simplify right side
    12,232.34x = 121,485,709.24
  5. Step 5: Solve for x
    x = 121,485,709.24/12,232.34
  6. Step 6: Final answer
    x = 9,931.52

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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.