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Finding the Fourth Proportional to 20,109.70, 30,164.55 and 15,444.10

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Solution

The fourth proportional to 20,109.70, 30,164.55 and 15,444.10 is: 23,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.70 : 30,164.55 = 15,444.10 : x
  2. Step 2: Convert to fraction form
    20,109.70/30,164.55 = 15,444.10/x
  3. Step 3: Cross multiply
    20,109.70x = 30,164.55 × 15,444.10
  4. Step 4: Simplify right side
    20,109.70x = 465,864,326.66
  5. Step 5: Solve for x
    x = 465,864,326.66/20,109.70
  6. Step 6: Final answer
    x = 23,166.15

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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.