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Finding the Fourth Proportional to 16,970.54, 23,418.27 and 10,252.20

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Solution

The fourth proportional to 16,970.54, 23,418.27 and 10,252.20 is: 14,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.54 : 23,418.27 = 10,252.20 : x
  2. Step 2: Convert to fraction form
    16,970.54/23,418.27 = 10,252.20/x
  3. Step 3: Cross multiply
    16,970.54x = 23,418.27 × 10,252.20
  4. Step 4: Simplify right side
    16,970.54x = 240,088,787.69
  5. Step 5: Solve for x
    x = 240,088,787.69/16,970.54
  6. Step 6: Final answer
    x = 14,147.39

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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.