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Finding the Fourth Proportional to 14,181.28, 19,574.48 and 8,214.42

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Solution

The fourth proportional to 14,181.28, 19,574.48 and 8,214.42 is: 11,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.28 : 19,574.48 = 8,214.42 : x
  2. Step 2: Convert to fraction form
    14,181.28/19,574.48 = 8,214.42/x
  3. Step 3: Cross multiply
    14,181.28x = 19,574.48 × 8,214.42
  4. Step 4: Simplify right side
    14,181.28x = 160,793,000.00
  5. Step 5: Solve for x
    x = 160,793,000.00/14,181.28
  6. Step 6: Final answer
    x = 11,338.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.