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Finding the Fourth Proportional to 24,106.80, 36,160.20 and 19,729.20

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Solution

The fourth proportional to 24,106.80, 36,160.20 and 19,729.20 is: 29,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.80 : 36,160.20 = 19,729.20 : x
  2. Step 2: Convert to fraction form
    24,106.80/36,160.20 = 19,729.20/x
  3. Step 3: Cross multiply
    24,106.80x = 36,160.20 × 19,729.20
  4. Step 4: Simplify right side
    24,106.80x = 713,411,817.84
  5. Step 5: Solve for x
    x = 713,411,817.84/24,106.80
  6. Step 6: Final answer
    x = 29,593.80

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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.