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Finding the Fourth Proportional to 21,100.12, 31,649.28 and 5,305.12

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Solution

The fourth proportional to 21,100.12, 31,649.28 and 5,305.12 is: 7,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.12 : 31,649.28 = 5,305.12 : x
  2. Step 2: Convert to fraction form
    21,100.12/31,649.28 = 5,305.12/x
  3. Step 3: Cross multiply
    21,100.12x = 31,649.28 × 5,305.12
  4. Step 4: Simplify right side
    21,100.12x = 167,903,228.31
  5. Step 5: Solve for x
    x = 167,903,228.31/21,100.12
  6. Step 6: Final answer
    x = 7,957.45

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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.