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Finding the Fourth Proportional to 19,412.92, 29,119.38 and 9,019

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Solution

The fourth proportional to 19,412.92, 29,119.38 and 9,019 is: 13,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.92 : 29,119.38 = 9,019 : x
  2. Step 2: Convert to fraction form
    19,412.92/29,119.38 = 9,019/x
  3. Step 3: Cross multiply
    19,412.92x = 29,119.38 × 9,019
  4. Step 4: Simplify right side
    19,412.92x = 262,627,688.22
  5. Step 5: Solve for x
    x = 262,627,688.22/19,412.92
  6. Step 6: Final answer
    x = 13,528.50

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Why These Related Problems?

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