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Finding the Fourth Proportional to 20,929.54, 31,354.21 and 20,226.06

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Solution

The fourth proportional to 20,929.54, 31,354.21 and 20,226.06 is: 30,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.54 : 31,354.21 = 20,226.06 : x
  2. Step 2: Convert to fraction form
    20,929.54/31,354.21 = 20,226.06/x
  3. Step 3: Cross multiply
    20,929.54x = 31,354.21 × 20,226.06
  4. Step 4: Simplify right side
    20,929.54x = 634,172,132.71
  5. Step 5: Solve for x
    x = 634,172,132.71/20,929.54
  6. Step 6: Final answer
    x = 30,300.34

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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.