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Finding the Fourth Proportional to 20,842.90, 31,261.06 and 6,802.86

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Solution

The fourth proportional to 20,842.90, 31,261.06 and 6,802.86 is: 10,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.90 : 31,261.06 = 6,802.86 : x
  2. Step 2: Convert to fraction form
    20,842.90/31,261.06 = 6,802.86/x
  3. Step 3: Cross multiply
    20,842.90x = 31,261.06 × 6,802.86
  4. Step 4: Simplify right side
    20,842.90x = 212,664,614.63
  5. Step 5: Solve for x
    x = 212,664,614.63/20,842.90
  6. Step 6: Final answer
    x = 10,203.22

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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.