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Finding the Fourth Proportional to 16,880.25, 25,256.12 and 10,192.13

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Solution

The fourth proportional to 16,880.25, 25,256.12 and 10,192.13 is: 15,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.25 : 25,256.12 = 10,192.13 : x
  2. Step 2: Convert to fraction form
    16,880.25/25,256.12 = 10,192.13/x
  3. Step 3: Cross multiply
    16,880.25x = 25,256.12 × 10,192.13
  4. Step 4: Simplify right side
    16,880.25x = 257,413,557.54
  5. Step 5: Solve for x
    x = 257,413,557.54/16,880.25
  6. Step 6: Final answer
    x = 15,249.40

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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.