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Finding the Fourth Proportional to 21,201.44, 31,802.16 and 8,050.70

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Solution

The fourth proportional to 21,201.44, 31,802.16 and 8,050.70 is: 12,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.44 : 31,802.16 = 8,050.70 : x
  2. Step 2: Convert to fraction form
    21,201.44/31,802.16 = 8,050.70/x
  3. Step 3: Cross multiply
    21,201.44x = 31,802.16 × 8,050.70
  4. Step 4: Simplify right side
    21,201.44x = 256,029,649.51
  5. Step 5: Solve for x
    x = 256,029,649.51/21,201.44
  6. Step 6: Final answer
    x = 12,076.05

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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.