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Finding the Fourth Proportional to 12,751.84, 17,600.16 and 8,032.96

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Solution

The fourth proportional to 12,751.84, 17,600.16 and 8,032.96 is: 11,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.84 : 17,600.16 = 8,032.96 : x
  2. Step 2: Convert to fraction form
    12,751.84/17,600.16 = 8,032.96/x
  3. Step 3: Cross multiply
    12,751.84x = 17,600.16 × 8,032.96
  4. Step 4: Simplify right side
    12,751.84x = 141,381,381.27
  5. Step 5: Solve for x
    x = 141,381,381.27/12,751.84
  6. Step 6: Final answer
    x = 11,087.14

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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.