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Finding the Fourth Proportional to 16,458.58, 22,708.92 and 9,382.42

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Solution

The fourth proportional to 16,458.58, 22,708.92 and 9,382.42 is: 12,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.58 : 22,708.92 = 9,382.42 : x
  2. Step 2: Convert to fraction form
    16,458.58/22,708.92 = 9,382.42/x
  3. Step 3: Cross multiply
    16,458.58x = 22,708.92 × 9,382.42
  4. Step 4: Simplify right side
    16,458.58x = 213,064,625.19
  5. Step 5: Solve for x
    x = 213,064,625.19/16,458.58
  6. Step 6: Final answer
    x = 12,945.50

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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.