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Finding the Fourth Proportional to 19,626, 27,084.29 and 11,242.50

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Solution

The fourth proportional to 19,626, 27,084.29 and 11,242.50 is: 15,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626 : 27,084.29 = 11,242.50 : x
  2. Step 2: Convert to fraction form
    19,626/27,084.29 = 11,242.50/x
  3. Step 3: Cross multiply
    19,626x = 27,084.29 × 11,242.50
  4. Step 4: Simplify right side
    19,626x = 304,495,074.11
  5. Step 5: Solve for x
    x = 304,495,074.11/19,626
  6. Step 6: Final answer
    x = 15,514.88

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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.