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Finding the Fourth Proportional to 16,382.94, 22,595.67 and 11,349.06

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Solution

The fourth proportional to 16,382.94, 22,595.67 and 11,349.06 is: 15,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.94 : 22,595.67 = 11,349.06 : x
  2. Step 2: Convert to fraction form
    16,382.94/22,595.67 = 11,349.06/x
  3. Step 3: Cross multiply
    16,382.94x = 22,595.67 × 11,349.06
  4. Step 4: Simplify right side
    16,382.94x = 256,439,614.57
  5. Step 5: Solve for x
    x = 256,439,614.57/16,382.94
  6. Step 6: Final answer
    x = 15,652.84

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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.