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Finding the Fourth Proportional to 16,218, 24,334.32 and 9,292.50

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Solution

The fourth proportional to 16,218, 24,334.32 and 9,292.50 is: 13,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218 : 24,334.32 = 9,292.50 : x
  2. Step 2: Convert to fraction form
    16,218/24,334.32 = 9,292.50/x
  3. Step 3: Cross multiply
    16,218x = 24,334.32 × 9,292.50
  4. Step 4: Simplify right side
    16,218x = 226,126,668.60
  5. Step 5: Solve for x
    x = 226,126,668.60/16,218
  6. Step 6: Final answer
    x = 13,942.94

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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.