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Finding the Fourth Proportional to 14,872.40, 22,297.80 and 6,102.80

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Solution

The fourth proportional to 14,872.40, 22,297.80 and 6,102.80 is: 9,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.40 : 22,297.80 = 6,102.80 : x
  2. Step 2: Convert to fraction form
    14,872.40/22,297.80 = 6,102.80/x
  3. Step 3: Cross multiply
    14,872.40x = 22,297.80 × 6,102.80
  4. Step 4: Simplify right side
    14,872.40x = 136,079,013.84
  5. Step 5: Solve for x
    x = 136,079,013.84/14,872.40
  6. Step 6: Final answer
    x = 9,149.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.