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Finding the Fourth Proportional to 14,182.28, 19,575.86 and 8,215.42

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Solution

The fourth proportional to 14,182.28, 19,575.86 and 8,215.42 is: 11,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.28 : 19,575.86 = 8,215.42 : x
  2. Step 2: Convert to fraction form
    14,182.28/19,575.86 = 8,215.42/x
  3. Step 3: Cross multiply
    14,182.28x = 19,575.86 × 8,215.42
  4. Step 4: Simplify right side
    14,182.28x = 160,823,911.76
  5. Step 5: Solve for x
    x = 160,823,911.76/14,182.28
  6. Step 6: Final answer
    x = 11,339.78

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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.