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Finding the Fourth Proportional to 12,176.04, 16,803.18 and 7,144.12

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Solution

The fourth proportional to 12,176.04, 16,803.18 and 7,144.12 is: 9,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.04 : 16,803.18 = 7,144.12 : x
  2. Step 2: Convert to fraction form
    12,176.04/16,803.18 = 7,144.12/x
  3. Step 3: Cross multiply
    12,176.04x = 16,803.18 × 7,144.12
  4. Step 4: Simplify right side
    12,176.04x = 120,043,934.30
  5. Step 5: Solve for x
    x = 120,043,934.30/12,176.04
  6. Step 6: Final answer
    x = 9,859.03

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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.