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Finding the Fourth Proportional to 13,805.84, 19,052.52 and 8,215.76

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Solution

The fourth proportional to 13,805.84, 19,052.52 and 8,215.76 is: 11,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.84 : 19,052.52 = 8,215.76 : x
  2. Step 2: Convert to fraction form
    13,805.84/19,052.52 = 8,215.76/x
  3. Step 3: Cross multiply
    13,805.84x = 19,052.52 × 8,215.76
  4. Step 4: Simplify right side
    13,805.84x = 156,530,931.72
  5. Step 5: Solve for x
    x = 156,530,931.72/13,805.84
  6. Step 6: Final answer
    x = 11,338.02

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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.