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Finding the Fourth Proportional to 16,380.63, 24,577.83 and 7,022.70

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Solution

The fourth proportional to 16,380.63, 24,577.83 and 7,022.70 is: 10,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.63 : 24,577.83 = 7,022.70 : x
  2. Step 2: Convert to fraction form
    16,380.63/24,577.83 = 7,022.70/x
  3. Step 3: Cross multiply
    16,380.63x = 24,577.83 × 7,022.70
  4. Step 4: Simplify right side
    16,380.63x = 172,602,726.74
  5. Step 5: Solve for x
    x = 172,602,726.74/16,380.63
  6. Step 6: Final answer
    x = 10,537.00

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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.