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Finding the Fourth Proportional to 12,852.57, 17,737.61 and 7,187.78

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Solution

The fourth proportional to 12,852.57, 17,737.61 and 7,187.78 is: 9,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.57 : 17,737.61 = 7,187.78 : x
  2. Step 2: Convert to fraction form
    12,852.57/17,737.61 = 7,187.78/x
  3. Step 3: Cross multiply
    12,852.57x = 17,737.61 × 7,187.78
  4. Step 4: Simplify right side
    12,852.57x = 127,493,980.29
  5. Step 5: Solve for x
    x = 127,493,980.29/12,852.57
  6. Step 6: Final answer
    x = 9,919.73

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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.