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Finding the Fourth Proportional to 13,008, 19,514.46 and 5,217.42

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Solution

The fourth proportional to 13,008, 19,514.46 and 5,217.42 is: 7,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008 : 19,514.46 = 5,217.42 : x
  2. Step 2: Convert to fraction form
    13,008/19,514.46 = 5,217.42/x
  3. Step 3: Cross multiply
    13,008x = 19,514.46 × 5,217.42
  4. Step 4: Simplify right side
    13,008x = 101,815,133.89
  5. Step 5: Solve for x
    x = 101,815,133.89/13,008
  6. Step 6: Final answer
    x = 7,827.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.