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Finding the Fourth Proportional to 10,153.06, 15,205.93 and 9,872.80

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Solution

The fourth proportional to 10,153.06, 15,205.93 and 9,872.80 is: 14,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.06 : 15,205.93 = 9,872.80 : x
  2. Step 2: Convert to fraction form
    10,153.06/15,205.93 = 9,872.80/x
  3. Step 3: Cross multiply
    10,153.06x = 15,205.93 × 9,872.80
  4. Step 4: Simplify right side
    10,153.06x = 150,125,105.70
  5. Step 5: Solve for x
    x = 150,125,105.70/10,153.06
  6. Step 6: Final answer
    x = 14,786.19

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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.