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Finding the Fourth Proportional to 12,176.04, 16,803.18 and 7,144.14

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Solution

The fourth proportional to 12,176.04, 16,803.18 and 7,144.14 is: 9,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.04 : 16,803.18 = 7,144.14 : x
  2. Step 2: Convert to fraction form
    12,176.04/16,803.18 = 7,144.14/x
  3. Step 3: Cross multiply
    12,176.04x = 16,803.18 × 7,144.14
  4. Step 4: Simplify right side
    12,176.04x = 120,044,270.37
  5. Step 5: Solve for x
    x = 120,044,270.37/12,176.04
  6. Step 6: Final answer
    x = 9,859.06

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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.