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Finding the Fourth Proportional to 30,807.25, 42,514.02 and 16,660.09

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Solution

The fourth proportional to 30,807.25, 42,514.02 and 16,660.09 is: 22,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.25 : 42,514.02 = 16,660.09 : x
  2. Step 2: Convert to fraction form
    30,807.25/42,514.02 = 16,660.09/x
  3. Step 3: Cross multiply
    30,807.25x = 42,514.02 × 16,660.09
  4. Step 4: Simplify right side
    30,807.25x = 708,287,399.46
  5. Step 5: Solve for x
    x = 708,287,399.46/30,807.25
  6. Step 6: Final answer
    x = 22,990.93

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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.