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Finding the Fourth Proportional to 12,355.52, 17,041.76 and 7,874.64

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Solution

The fourth proportional to 12,355.52, 17,041.76 and 7,874.64 is: 10,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.52 : 17,041.76 = 7,874.64 : x
  2. Step 2: Convert to fraction form
    12,355.52/17,041.76 = 7,874.64/x
  3. Step 3: Cross multiply
    12,355.52x = 17,041.76 × 7,874.64
  4. Step 4: Simplify right side
    12,355.52x = 134,197,724.97
  5. Step 5: Solve for x
    x = 134,197,724.97/12,355.52
  6. Step 6: Final answer
    x = 10,861.36

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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.