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Finding the Fourth Proportional to 14,147.85, 19,523.18 and 7,860.23

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Solution

The fourth proportional to 14,147.85, 19,523.18 and 7,860.23 is: 10,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.85 : 19,523.18 = 7,860.23 : x
  2. Step 2: Convert to fraction form
    14,147.85/19,523.18 = 7,860.23/x
  3. Step 3: Cross multiply
    14,147.85x = 19,523.18 × 7,860.23
  4. Step 4: Simplify right side
    14,147.85x = 153,456,548.21
  5. Step 5: Solve for x
    x = 153,456,548.21/14,147.85
  6. Step 6: Final answer
    x = 10,846.63

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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.