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Finding the Fourth Proportional to 12,816.36, 17,688.36 and 7,512.90

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Solution

The fourth proportional to 12,816.36, 17,688.36 and 7,512.90 is: 10,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.36 : 17,688.36 = 7,512.90 : x
  2. Step 2: Convert to fraction form
    12,816.36/17,688.36 = 7,512.90/x
  3. Step 3: Cross multiply
    12,816.36x = 17,688.36 × 7,512.90
  4. Step 4: Simplify right side
    12,816.36x = 132,890,879.84
  5. Step 5: Solve for x
    x = 132,890,879.84/12,816.36
  6. Step 6: Final answer
    x = 10,368.85

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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.