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Finding the Fourth Proportional to 19,976.19, 29,917.61 and 15,788.10

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Solution

The fourth proportional to 19,976.19, 29,917.61 and 15,788.10 is: 23,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.19 : 29,917.61 = 15,788.10 : x
  2. Step 2: Convert to fraction form
    19,976.19/29,917.61 = 15,788.10/x
  3. Step 3: Cross multiply
    19,976.19x = 29,917.61 × 15,788.10
  4. Step 4: Simplify right side
    19,976.19x = 472,342,139.50
  5. Step 5: Solve for x
    x = 472,342,139.50/19,976.19
  6. Step 6: Final answer
    x = 23,645.26

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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.