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Finding the Fourth Proportional to 16,382.16, 22,598.76 and 11,078.76

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Solution

The fourth proportional to 16,382.16, 22,598.76 and 11,078.76 is: 15,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.16 : 22,598.76 = 11,078.76 : x
  2. Step 2: Convert to fraction form
    16,382.16/22,598.76 = 11,078.76/x
  3. Step 3: Cross multiply
    16,382.16x = 22,598.76 × 11,078.76
  4. Step 4: Simplify right side
    16,382.16x = 250,366,238.34
  5. Step 5: Solve for x
    x = 250,366,238.34/16,382.16
  6. Step 6: Final answer
    x = 15,282.86

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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.