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Finding the Fourth Proportional to 16,605.87, 22,917.24 and 10,148.28

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Solution

The fourth proportional to 16,605.87, 22,917.24 and 10,148.28 is: 14,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.87 : 22,917.24 = 10,148.28 : x
  2. Step 2: Convert to fraction form
    16,605.87/22,917.24 = 10,148.28/x
  3. Step 3: Cross multiply
    16,605.87x = 22,917.24 × 10,148.28
  4. Step 4: Simplify right side
    16,605.87x = 232,570,568.35
  5. Step 5: Solve for x
    x = 232,570,568.35/16,605.87
  6. Step 6: Final answer
    x = 14,005.32

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1.5x scale

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.