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Finding the Fourth Proportional to 16,470.99, 22,730.31 and 9,299.57

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Solution

The fourth proportional to 16,470.99, 22,730.31 and 9,299.57 is: 12,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.99 : 22,730.31 = 9,299.57 : x
  2. Step 2: Convert to fraction form
    16,470.99/22,730.31 = 9,299.57/x
  3. Step 3: Cross multiply
    16,470.99x = 22,730.31 × 9,299.57
  4. Step 4: Simplify right side
    16,470.99x = 211,381,995.32
  5. Step 5: Solve for x
    x = 211,381,995.32/16,470.99
  6. Step 6: Final answer
    x = 12,833.59

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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.