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Finding the Fourth Proportional to 19,001, 26,221.38 and 10,617.50

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Solution

The fourth proportional to 19,001, 26,221.38 and 10,617.50 is: 14,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,001 : 26,221.38 = 10,617.50 : x
  2. Step 2: Convert to fraction form
    19,001/26,221.38 = 10,617.50/x
  3. Step 3: Cross multiply
    19,001x = 26,221.38 × 10,617.50
  4. Step 4: Simplify right side
    19,001x = 278,405,502.15
  5. Step 5: Solve for x
    x = 278,405,502.15/19,001
  6. Step 6: Final answer
    x = 14,652.15

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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.