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Finding the Fourth Proportional to 16,548, 22,836.32 and 9,096

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Solution

The fourth proportional to 16,548, 22,836.32 and 9,096 is: 12,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548 : 22,836.32 = 9,096 : x
  2. Step 2: Convert to fraction form
    16,548/22,836.32 = 9,096/x
  3. Step 3: Cross multiply
    16,548x = 22,836.32 × 9,096
  4. Step 4: Simplify right side
    16,548x = 207,719,166.72
  5. Step 5: Solve for x
    x = 207,719,166.72/16,548
  6. Step 6: Final answer
    x = 12,552.52

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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.