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Finding the Fourth Proportional to 14,113.99, 19,475.89 and 8,147.58

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Solution

The fourth proportional to 14,113.99, 19,475.89 and 8,147.58 is: 11,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.99 : 19,475.89 = 8,147.58 : x
  2. Step 2: Convert to fraction form
    14,113.99/19,475.89 = 8,147.58/x
  3. Step 3: Cross multiply
    14,113.99x = 19,475.89 × 8,147.58
  4. Step 4: Simplify right side
    14,113.99x = 158,681,324.27
  5. Step 5: Solve for x
    x = 158,681,324.27/14,113.99
  6. Step 6: Final answer
    x = 11,242.84

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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.