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Finding the Fourth Proportional to 16,153, 24,229.50 and 4,306.81

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Solution

The fourth proportional to 16,153, 24,229.50 and 4,306.81 is: 6,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153 : 24,229.50 = 4,306.81 : x
  2. Step 2: Convert to fraction form
    16,153/24,229.50 = 4,306.81/x
  3. Step 3: Cross multiply
    16,153x = 24,229.50 × 4,306.81
  4. Step 4: Simplify right side
    16,153x = 104,351,852.90
  5. Step 5: Solve for x
    x = 104,351,852.90/16,153
  6. Step 6: Final answer
    x = 6,460.22

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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.