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Finding the Fourth Proportional to 16,934, 23,363.52 and 10,970.24

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Solution

The fourth proportional to 16,934, 23,363.52 and 10,970.24 is: 15,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,934 : 23,363.52 = 10,970.24 : x
  2. Step 2: Convert to fraction form
    16,934/23,363.52 = 10,970.24/x
  3. Step 3: Cross multiply
    16,934x = 23,363.52 × 10,970.24
  4. Step 4: Simplify right side
    16,934x = 256,303,421.64
  5. Step 5: Solve for x
    x = 256,303,421.64/16,934
  6. Step 6: Final answer
    x = 15,135.43

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