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Finding the Fourth Proportional to 16,660, 24,970.56 and 9,260.92

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Solution

The fourth proportional to 16,660, 24,970.56 and 9,260.92 is: 13,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,660 : 24,970.56 = 9,260.92 : x
  2. Step 2: Convert to fraction form
    16,660/24,970.56 = 9,260.92/x
  3. Step 3: Cross multiply
    16,660x = 24,970.56 × 9,260.92
  4. Step 4: Simplify right side
    16,660x = 231,250,358.52
  5. Step 5: Solve for x
    x = 231,250,358.52/16,660
  6. Step 6: Final answer
    x = 13,880.57

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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.