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Finding the Fourth Proportional to 14,267.80, 19,648.74 and 10,282.60

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Solution

The fourth proportional to 14,267.80, 19,648.74 and 10,282.60 is: 14,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.80 : 19,648.74 = 10,282.60 : x
  2. Step 2: Convert to fraction form
    14,267.80/19,648.74 = 10,282.60/x
  3. Step 3: Cross multiply
    14,267.80x = 19,648.74 × 10,282.60
  4. Step 4: Simplify right side
    14,267.80x = 202,040,133.92
  5. Step 5: Solve for x
    x = 202,040,133.92/14,267.80
  6. Step 6: Final answer
    x = 14,160.57

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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.