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Finding the Fourth Proportional to 15,019.14, 20,727.06 and 9,357.24

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Solution

The fourth proportional to 15,019.14, 20,727.06 and 9,357.24 is: 12,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019.14 : 20,727.06 = 9,357.24 : x
  2. Step 2: Convert to fraction form
    15,019.14/20,727.06 = 9,357.24/x
  3. Step 3: Cross multiply
    15,019.14x = 20,727.06 × 9,357.24
  4. Step 4: Simplify right side
    15,019.14x = 193,948,074.91
  5. Step 5: Solve for x
    x = 193,948,074.91/15,019.14
  6. Step 6: Final answer
    x = 12,913.39

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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.