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Finding the Fourth Proportional to 20,498.53, 30,762.38 and 15,823.21

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Solution

The fourth proportional to 20,498.53, 30,762.38 and 15,823.21 is: 23,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.53 : 30,762.38 = 15,823.21 : x
  2. Step 2: Convert to fraction form
    20,498.53/30,762.38 = 15,823.21/x
  3. Step 3: Cross multiply
    20,498.53x = 30,762.38 × 15,823.21
  4. Step 4: Simplify right side
    20,498.53x = 486,759,519.72
  5. Step 5: Solve for x
    x = 486,759,519.72/20,498.53
  6. Step 6: Final answer
    x = 23,746.07

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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.