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Finding the Fourth Proportional to 19,207.50, 26,506.35 and 10,375.50

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Solution

The fourth proportional to 19,207.50, 26,506.35 and 10,375.50 is: 14,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.50 : 26,506.35 = 10,375.50 : x
  2. Step 2: Convert to fraction form
    19,207.50/26,506.35 = 10,375.50/x
  3. Step 3: Cross multiply
    19,207.50x = 26,506.35 × 10,375.50
  4. Step 4: Simplify right side
    19,207.50x = 275,016,634.43
  5. Step 5: Solve for x
    x = 275,016,634.43/19,207.50
  6. Step 6: Final answer
    x = 14,318.19

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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.