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Finding the Fourth Proportional to 20,197.58, 30,300.47 and 8,510.80

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Solution

The fourth proportional to 20,197.58, 30,300.47 and 8,510.80 is: 12,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.58 : 30,300.47 = 8,510.80 : x
  2. Step 2: Convert to fraction form
    20,197.58/30,300.47 = 8,510.80/x
  3. Step 3: Cross multiply
    20,197.58x = 30,300.47 × 8,510.80
  4. Step 4: Simplify right side
    20,197.58x = 257,881,046.02
  5. Step 5: Solve for x
    x = 257,881,046.02/20,197.58
  6. Step 6: Final answer
    x = 12,767.92

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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.