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Finding the Fourth Proportional to 14,144.28, 19,519.11 and 7,856.66

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Solution

The fourth proportional to 14,144.28, 19,519.11 and 7,856.66 is: 10,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.28 : 19,519.11 = 7,856.66 : x
  2. Step 2: Convert to fraction form
    14,144.28/19,519.11 = 7,856.66/x
  3. Step 3: Cross multiply
    14,144.28x = 19,519.11 × 7,856.66
  4. Step 4: Simplify right side
    14,144.28x = 153,354,913.18
  5. Step 5: Solve for x
    x = 153,354,913.18/14,144.28
  6. Step 6: Final answer
    x = 10,842.19

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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.