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Finding the Fourth Proportional to 20,804.24, 31,193.90 and 9,545.48

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Solution

The fourth proportional to 20,804.24, 31,193.90 and 9,545.48 is: 14,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.24 : 31,193.90 = 9,545.48 : x
  2. Step 2: Convert to fraction form
    20,804.24/31,193.90 = 9,545.48/x
  3. Step 3: Cross multiply
    20,804.24x = 31,193.90 × 9,545.48
  4. Step 4: Simplify right side
    20,804.24x = 297,760,748.57
  5. Step 5: Solve for x
    x = 297,760,748.57/20,804.24
  6. Step 6: Final answer
    x = 14,312.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.