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Finding the Fourth Proportional to 20,804.40, 31,166.40 and 16,121.76

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Solution

The fourth proportional to 20,804.40, 31,166.40 and 16,121.76 is: 24,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.40 : 31,166.40 = 16,121.76 : x
  2. Step 2: Convert to fraction form
    20,804.40/31,166.40 = 16,121.76/x
  3. Step 3: Cross multiply
    20,804.40x = 31,166.40 × 16,121.76
  4. Step 4: Simplify right side
    20,804.40x = 502,457,220.86
  5. Step 5: Solve for x
    x = 502,457,220.86/20,804.40
  6. Step 6: Final answer
    x = 24,151.49

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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.