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Finding the Fourth Proportional to 20,500.66, 30,739.56 and 13,100.50

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Solution

The fourth proportional to 20,500.66, 30,739.56 and 13,100.50 is: 19,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.66 : 30,739.56 = 13,100.50 : x
  2. Step 2: Convert to fraction form
    20,500.66/30,739.56 = 13,100.50/x
  3. Step 3: Cross multiply
    20,500.66x = 30,739.56 × 13,100.50
  4. Step 4: Simplify right side
    20,500.66x = 402,703,605.78
  5. Step 5: Solve for x
    x = 402,703,605.78/20,500.66
  6. Step 6: Final answer
    x = 19,643.45

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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.