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Finding the Fourth Proportional to 19,357.29, 29,023.82 and 8,109.58

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Solution

The fourth proportional to 19,357.29, 29,023.82 and 8,109.58 is: 12,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.29 : 29,023.82 = 8,109.58 : x
  2. Step 2: Convert to fraction form
    19,357.29/29,023.82 = 8,109.58/x
  3. Step 3: Cross multiply
    19,357.29x = 29,023.82 × 8,109.58
  4. Step 4: Simplify right side
    19,357.29x = 235,370,976.48
  5. Step 5: Solve for x
    x = 235,370,976.48/19,357.29
  6. Step 6: Final answer
    x = 12,159.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.