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Finding the Fourth Proportional to 20,374.70, 30,562.05 and 9,852.80

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Solution

The fourth proportional to 20,374.70, 30,562.05 and 9,852.80 is: 14,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.70 : 30,562.05 = 9,852.80 : x
  2. Step 2: Convert to fraction form
    20,374.70/30,562.05 = 9,852.80/x
  3. Step 3: Cross multiply
    20,374.70x = 30,562.05 × 9,852.80
  4. Step 4: Simplify right side
    20,374.70x = 301,121,766.24
  5. Step 5: Solve for x
    x = 301,121,766.24/20,374.70
  6. Step 6: Final answer
    x = 14,779.20

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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.