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Finding the Fourth Proportional to 24,109.80, 36,164.70 and 19,732.20

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Solution

The fourth proportional to 24,109.80, 36,164.70 and 19,732.20 is: 29,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.80 : 36,164.70 = 19,732.20 : x
  2. Step 2: Convert to fraction form
    24,109.80/36,164.70 = 19,732.20/x
  3. Step 3: Cross multiply
    24,109.80x = 36,164.70 × 19,732.20
  4. Step 4: Simplify right side
    24,109.80x = 713,609,093.34
  5. Step 5: Solve for x
    x = 713,609,093.34/24,109.80
  6. Step 6: Final answer
    x = 29,598.30

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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.