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Finding the Fourth Proportional to 13,019.20, 19,514.80 and 5,627.16

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Solution

The fourth proportional to 13,019.20, 19,514.80 and 5,627.16 is: 8,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.20 : 19,514.80 = 5,627.16 : x
  2. Step 2: Convert to fraction form
    13,019.20/19,514.80 = 5,627.16/x
  3. Step 3: Cross multiply
    13,019.20x = 19,514.80 × 5,627.16
  4. Step 4: Simplify right side
    13,019.20x = 109,812,901.97
  5. Step 5: Solve for x
    x = 109,812,901.97/13,019.20
  6. Step 6: Final answer
    x = 8,434.69

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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.