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Finding the Fourth Proportional to 16,541.82, 22,825.14 and 9,827.27

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Solution

The fourth proportional to 16,541.82, 22,825.14 and 9,827.27 is: 13,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.82 : 22,825.14 = 9,827.27 : x
  2. Step 2: Convert to fraction form
    16,541.82/22,825.14 = 9,827.27/x
  3. Step 3: Cross multiply
    16,541.82x = 22,825.14 × 9,827.27
  4. Step 4: Simplify right side
    16,541.82x = 224,308,931.85
  5. Step 5: Solve for x
    x = 224,308,931.85/16,541.82
  6. Step 6: Final answer
    x = 13,560.11

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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.