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Finding the Fourth Proportional to 20,005.20, 29,784.42 and 20,005.20

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Solution

The fourth proportional to 20,005.20, 29,784.42 and 20,005.20 is: 29,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.20 : 29,784.42 = 20,005.20 : x
  2. Step 2: Convert to fraction form
    20,005.20/29,784.42 = 20,005.20/x
  3. Step 3: Cross multiply
    20,005.20x = 29,784.42 × 20,005.20
  4. Step 4: Simplify right side
    20,005.20x = 595,843,278.98
  5. Step 5: Solve for x
    x = 595,843,278.98/20,005.20
  6. Step 6: Final answer
    x = 29,784.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.