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Finding the Fourth Proportional to 20,877.40, 31,319.34 and 7,025.32

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Solution

The fourth proportional to 20,877.40, 31,319.34 and 7,025.32 is: 10,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.40 : 31,319.34 = 7,025.32 : x
  2. Step 2: Convert to fraction form
    20,877.40/31,319.34 = 7,025.32/x
  3. Step 3: Cross multiply
    20,877.40x = 31,319.34 × 7,025.32
  4. Step 4: Simplify right side
    20,877.40x = 220,028,385.69
  5. Step 5: Solve for x
    x = 220,028,385.69/20,877.40
  6. Step 6: Final answer
    x = 10,539.07

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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.