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Finding the Fourth Proportional to 14,110.65, 19,468.48 and 8,142.21

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Solution

The fourth proportional to 14,110.65, 19,468.48 and 8,142.21 is: 11,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.65 : 19,468.48 = 8,142.21 : x
  2. Step 2: Convert to fraction form
    14,110.65/19,468.48 = 8,142.21/x
  3. Step 3: Cross multiply
    14,110.65x = 19,468.48 × 8,142.21
  4. Step 4: Simplify right side
    14,110.65x = 158,516,452.54
  5. Step 5: Solve for x
    x = 158,516,452.54/14,110.65
  6. Step 6: Final answer
    x = 11,233.82

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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.