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Finding the Fourth Proportional to 20,756.63, 31,134.65 and 9,657.11

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Solution

The fourth proportional to 20,756.63, 31,134.65 and 9,657.11 is: 14,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.63 : 31,134.65 = 9,657.11 : x
  2. Step 2: Convert to fraction form
    20,756.63/31,134.65 = 9,657.11/x
  3. Step 3: Cross multiply
    20,756.63x = 31,134.65 × 9,657.11
  4. Step 4: Simplify right side
    20,756.63x = 300,670,535.90
  5. Step 5: Solve for x
    x = 300,670,535.90/20,756.63
  6. Step 6: Final answer
    x = 14,485.52

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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.