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Finding the Fourth Proportional to 20,770.08, 31,154.76 and 5,978.40

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Solution

The fourth proportional to 20,770.08, 31,154.76 and 5,978.40 is: 8,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.08 : 31,154.76 = 5,978.40 : x
  2. Step 2: Convert to fraction form
    20,770.08/31,154.76 = 5,978.40/x
  3. Step 3: Cross multiply
    20,770.08x = 31,154.76 × 5,978.40
  4. Step 4: Simplify right side
    20,770.08x = 186,255,617.18
  5. Step 5: Solve for x
    x = 186,255,617.18/20,770.08
  6. Step 6: Final answer
    x = 8,967.50

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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.