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Finding the Fourth Proportional to 21,009.60, 31,480.38 and 9,889.92

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Solution

The fourth proportional to 21,009.60, 31,480.38 and 9,889.92 is: 14,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.60 : 31,480.38 = 9,889.92 : x
  2. Step 2: Convert to fraction form
    21,009.60/31,480.38 = 9,889.92/x
  3. Step 3: Cross multiply
    21,009.60x = 31,480.38 × 9,889.92
  4. Step 4: Simplify right side
    21,009.60x = 311,338,439.77
  5. Step 5: Solve for x
    x = 311,338,439.77/21,009.60
  6. Step 6: Final answer
    x = 14,818.87

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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.