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Finding the Fourth Proportional to 30,807.99, 42,514.87 and 16,660.80

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Solution

The fourth proportional to 30,807.99, 42,514.87 and 16,660.80 is: 22,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.99 : 42,514.87 = 16,660.80 : x
  2. Step 2: Convert to fraction form
    30,807.99/42,514.87 = 16,660.80/x
  3. Step 3: Cross multiply
    30,807.99x = 42,514.87 × 16,660.80
  4. Step 4: Simplify right side
    30,807.99x = 708,331,746.10
  5. Step 5: Solve for x
    x = 708,331,746.10/30,807.99
  6. Step 6: Final answer
    x = 22,991.82

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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.