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Finding the Fourth Proportional to 16,577.99, 22,878.12 and 9,024.83

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Solution

The fourth proportional to 16,577.99, 22,878.12 and 9,024.83 is: 12,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.99 : 22,878.12 = 9,024.83 : x
  2. Step 2: Convert to fraction form
    16,577.99/22,878.12 = 9,024.83/x
  3. Step 3: Cross multiply
    16,577.99x = 22,878.12 × 9,024.83
  4. Step 4: Simplify right side
    16,577.99x = 206,471,143.72
  5. Step 5: Solve for x
    x = 206,471,143.72/16,577.99
  6. Step 6: Final answer
    x = 12,454.53

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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.