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Finding the Fourth Proportional to 14,147.50, 19,524.36 and 7,860.28

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Solution

The fourth proportional to 14,147.50, 19,524.36 and 7,860.28 is: 10,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.50 : 19,524.36 = 7,860.28 : x
  2. Step 2: Convert to fraction form
    14,147.50/19,524.36 = 7,860.28/x
  3. Step 3: Cross multiply
    14,147.50x = 19,524.36 × 7,860.28
  4. Step 4: Simplify right side
    14,147.50x = 153,466,936.42
  5. Step 5: Solve for x
    x = 153,466,936.42/14,147.50
  6. Step 6: Final answer
    x = 10,847.64

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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.