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Finding the Fourth Proportional to 16,479.24, 22,741.74 and 9,406.32

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Solution

The fourth proportional to 16,479.24, 22,741.74 and 9,406.32 is: 12,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479.24 : 22,741.74 = 9,406.32 : x
  2. Step 2: Convert to fraction form
    16,479.24/22,741.74 = 9,406.32/x
  3. Step 3: Cross multiply
    16,479.24x = 22,741.74 × 9,406.32
  4. Step 4: Simplify right side
    16,479.24x = 213,916,083.80
  5. Step 5: Solve for x
    x = 213,916,083.80/16,479.24
  6. Step 6: Final answer
    x = 12,980.94

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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.