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Finding the Fourth Proportional to 20,756.13, 31,133.89 and 9,656.61

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Solution

The fourth proportional to 20,756.13, 31,133.89 and 9,656.61 is: 14,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.13 : 31,133.89 = 9,656.61 : x
  2. Step 2: Convert to fraction form
    20,756.13/31,133.89 = 9,656.61/x
  3. Step 3: Cross multiply
    20,756.13x = 31,133.89 × 9,656.61
  4. Step 4: Simplify right side
    20,756.13x = 300,647,833.51
  5. Step 5: Solve for x
    x = 300,647,833.51/20,756.13
  6. Step 6: Final answer
    x = 14,484.77

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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.