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Finding the Fourth Proportional to 20,866.68, 31,298.64 and 9,775.86

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Solution

The fourth proportional to 20,866.68, 31,298.64 and 9,775.86 is: 14,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.68 : 31,298.64 = 9,775.86 : x
  2. Step 2: Convert to fraction form
    20,866.68/31,298.64 = 9,775.86/x
  3. Step 3: Cross multiply
    20,866.68x = 31,298.64 × 9,775.86
  4. Step 4: Simplify right side
    20,866.68x = 305,971,122.83
  5. Step 5: Solve for x
    x = 305,971,122.83/20,866.68
  6. Step 6: Final answer
    x = 14,663.14

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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.