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Finding the Fourth Proportional to 13,823.84, 19,086.72 and 8,520.32

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Solution

The fourth proportional to 13,823.84, 19,086.72 and 8,520.32 is: 11,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.84 : 19,086.72 = 8,520.32 : x
  2. Step 2: Convert to fraction form
    13,823.84/19,086.72 = 8,520.32/x
  3. Step 3: Cross multiply
    13,823.84x = 19,086.72 × 8,520.32
  4. Step 4: Simplify right side
    13,823.84x = 162,624,962.15
  5. Step 5: Solve for x
    x = 162,624,962.15/13,823.84
  6. Step 6: Final answer
    x = 11,764.09

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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.