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Finding the Fourth Proportional to 20,510.83, 30,744.64 and 10,639.63

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Solution

The fourth proportional to 20,510.83, 30,744.64 and 10,639.63 is: 15,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.83 : 30,744.64 = 10,639.63 : x
  2. Step 2: Convert to fraction form
    20,510.83/30,744.64 = 10,639.63/x
  3. Step 3: Cross multiply
    20,510.83x = 30,744.64 × 10,639.63
  4. Step 4: Simplify right side
    20,510.83x = 327,111,594.08
  5. Step 5: Solve for x
    x = 327,111,594.08/20,510.83
  6. Step 6: Final answer
    x = 15,948.24

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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.