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Finding the Fourth Proportional to 14,144.08, 19,519.48 and 7,856.48

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Solution

The fourth proportional to 14,144.08, 19,519.48 and 7,856.48 is: 10,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.08 : 19,519.48 = 7,856.48 : x
  2. Step 2: Convert to fraction form
    14,144.08/19,519.48 = 7,856.48/x
  3. Step 3: Cross multiply
    14,144.08x = 19,519.48 × 7,856.48
  4. Step 4: Simplify right side
    14,144.08x = 153,354,404.23
  5. Step 5: Solve for x
    x = 153,354,404.23/14,144.08
  6. Step 6: Final answer
    x = 10,842.30

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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.