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Finding the Fourth Proportional to 23,117.70, 34,509.31 and 20,315.21

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Solution

The fourth proportional to 23,117.70, 34,509.31 and 20,315.21 is: 30,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.70 : 34,509.31 = 20,315.21 : x
  2. Step 2: Convert to fraction form
    23,117.70/34,509.31 = 20,315.21/x
  3. Step 3: Cross multiply
    23,117.70x = 34,509.31 × 20,315.21
  4. Step 4: Simplify right side
    23,117.70x = 701,063,656.27
  5. Step 5: Solve for x
    x = 701,063,656.27/23,117.70
  6. Step 6: Final answer
    x = 30,325.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.