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Finding the Fourth Proportional to 20,802.88, 31,203.84 and 10,407.04

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Solution

The fourth proportional to 20,802.88, 31,203.84 and 10,407.04 is: 15,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.88 : 31,203.84 = 10,407.04 : x
  2. Step 2: Convert to fraction form
    20,802.88/31,203.84 = 10,407.04/x
  3. Step 3: Cross multiply
    20,802.88x = 31,203.84 × 10,407.04
  4. Step 4: Simplify right side
    20,802.88x = 324,739,611.03
  5. Step 5: Solve for x
    x = 324,739,611.03/20,802.88
  6. Step 6: Final answer
    x = 15,610.32

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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.