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Finding the Fourth Proportional to 21,161.60, 31,746.84 and 8,013.68

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Solution

The fourth proportional to 21,161.60, 31,746.84 and 8,013.68 is: 12,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.60 : 31,746.84 = 8,013.68 : x
  2. Step 2: Convert to fraction form
    21,161.60/31,746.84 = 8,013.68/x
  3. Step 3: Cross multiply
    21,161.60x = 31,746.84 × 8,013.68
  4. Step 4: Simplify right side
    21,161.60x = 254,409,016.77
  5. Step 5: Solve for x
    x = 254,409,016.77/21,161.60
  6. Step 6: Final answer
    x = 12,022.20

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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.