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Finding the Fourth Proportional to 16,225.50, 24,372.81 and 15,277.48

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Solution

The fourth proportional to 16,225.50, 24,372.81 and 15,277.48 is: 22,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.50 : 24,372.81 = 15,277.48 : x
  2. Step 2: Convert to fraction form
    16,225.50/24,372.81 = 15,277.48/x
  3. Step 3: Cross multiply
    16,225.50x = 24,372.81 × 15,277.48
  4. Step 4: Simplify right side
    16,225.50x = 372,355,117.32
  5. Step 5: Solve for x
    x = 372,355,117.32/16,225.50
  6. Step 6: Final answer
    x = 22,948.76

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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.