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Finding the Fourth Proportional to 16,776.86, 25,182.77 and 16,400.34

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Solution

The fourth proportional to 16,776.86, 25,182.77 and 16,400.34 is: 24,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776.86 : 25,182.77 = 16,400.34 : x
  2. Step 2: Convert to fraction form
    16,776.86/25,182.77 = 16,400.34/x
  3. Step 3: Cross multiply
    16,776.86x = 25,182.77 × 16,400.34
  4. Step 4: Simplify right side
    16,776.86x = 413,005,908.14
  5. Step 5: Solve for x
    x = 413,005,908.14/16,776.86
  6. Step 6: Final answer
    x = 24,617.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.