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Finding the Fourth Proportional to 20,700.42, 31,061.07 and 9,594.60

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Solution

The fourth proportional to 20,700.42, 31,061.07 and 9,594.60 is: 14,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.42 : 31,061.07 = 9,594.60 : x
  2. Step 2: Convert to fraction form
    20,700.42/31,061.07 = 9,594.60/x
  3. Step 3: Cross multiply
    20,700.42x = 31,061.07 × 9,594.60
  4. Step 4: Simplify right side
    20,700.42x = 298,018,542.22
  5. Step 5: Solve for x
    x = 298,018,542.22/20,700.42
  6. Step 6: Final answer
    x = 14,396.74

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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.