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Finding the Fourth Proportional to 19,585.38, 27,019.04 and 13,209.90

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Solution

The fourth proportional to 19,585.38, 27,019.04 and 13,209.90 is: 18,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.38 : 27,019.04 = 13,209.90 : x
  2. Step 2: Convert to fraction form
    19,585.38/27,019.04 = 13,209.90/x
  3. Step 3: Cross multiply
    19,585.38x = 27,019.04 × 13,209.90
  4. Step 4: Simplify right side
    19,585.38x = 356,918,816.50
  5. Step 5: Solve for x
    x = 356,918,816.50/19,585.38
  6. Step 6: Final answer
    x = 18,223.74

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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.