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Finding the Fourth Proportional to 14,147.76, 19,524.52 and 7,860.12

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Solution

The fourth proportional to 14,147.76, 19,524.52 and 7,860.12 is: 10,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.76 : 19,524.52 = 7,860.12 : x
  2. Step 2: Convert to fraction form
    14,147.76/19,524.52 = 7,860.12/x
  3. Step 3: Cross multiply
    14,147.76x = 19,524.52 × 7,860.12
  4. Step 4: Simplify right side
    14,147.76x = 153,465,070.14
  5. Step 5: Solve for x
    x = 153,465,070.14/14,147.76
  6. Step 6: Final answer
    x = 10,847.31

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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.