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Finding the Fourth Proportional to 19,832.50, 27,368.58 and 10,880.38

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Solution

The fourth proportional to 19,832.50, 27,368.58 and 10,880.38 is: 15,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.50 : 27,368.58 = 10,880.38 : x
  2. Step 2: Convert to fraction form
    19,832.50/27,368.58 = 10,880.38/x
  3. Step 3: Cross multiply
    19,832.50x = 27,368.58 × 10,880.38
  4. Step 4: Simplify right side
    19,832.50x = 297,780,550.46
  5. Step 5: Solve for x
    x = 297,780,550.46/19,832.50
  6. Step 6: Final answer
    x = 15,014.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.