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Finding the Fourth Proportional to 20,887.64, 31,347.04 and 8,407.78

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Solution

The fourth proportional to 20,887.64, 31,347.04 and 8,407.78 is: 12,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887.64 : 31,347.04 = 8,407.78 : x
  2. Step 2: Convert to fraction form
    20,887.64/31,347.04 = 8,407.78/x
  3. Step 3: Cross multiply
    20,887.64x = 31,347.04 × 8,407.78
  4. Step 4: Simplify right side
    20,887.64x = 263,559,015.97
  5. Step 5: Solve for x
    x = 263,559,015.97/20,887.64
  6. Step 6: Final answer
    x = 12,617.94

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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.