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Finding the Fourth Proportional to 12,652.54, 17,455.62 and 7,618.12

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Solution

The fourth proportional to 12,652.54, 17,455.62 and 7,618.12 is: 10,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.54 : 17,455.62 = 7,618.12 : x
  2. Step 2: Convert to fraction form
    12,652.54/17,455.62 = 7,618.12/x
  3. Step 3: Cross multiply
    12,652.54x = 17,455.62 × 7,618.12
  4. Step 4: Simplify right side
    12,652.54x = 132,979,007.83
  5. Step 5: Solve for x
    x = 132,979,007.83/12,652.54
  6. Step 6: Final answer
    x = 10,510.06

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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.