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Finding the Fourth Proportional to 20,723.40, 31,085.10 and 15,539.40

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Solution

The fourth proportional to 20,723.40, 31,085.10 and 15,539.40 is: 23,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.40 : 31,085.10 = 15,539.40 : x
  2. Step 2: Convert to fraction form
    20,723.40/31,085.10 = 15,539.40/x
  3. Step 3: Cross multiply
    20,723.40x = 31,085.10 × 15,539.40
  4. Step 4: Simplify right side
    20,723.40x = 483,043,802.94
  5. Step 5: Solve for x
    x = 483,043,802.94/20,723.40
  6. Step 6: Final answer
    x = 23,309.10

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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.