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Finding the Fourth Proportional to 20,842.53, 31,264.10 and 6,802.50

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Solution

The fourth proportional to 20,842.53, 31,264.10 and 6,802.50 is: 10,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.53 : 31,264.10 = 6,802.50 : x
  2. Step 2: Convert to fraction form
    20,842.53/31,264.10 = 6,802.50/x
  3. Step 3: Cross multiply
    20,842.53x = 31,264.10 × 6,802.50
  4. Step 4: Simplify right side
    20,842.53x = 212,674,006.24
  5. Step 5: Solve for x
    x = 212,674,006.24/20,842.53
  6. Step 6: Final answer
    x = 10,203.85

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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.