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Finding the Fourth Proportional to 13,832.60, 19,087.92 and 8,527.50

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Solution

The fourth proportional to 13,832.60, 19,087.92 and 8,527.50 is: 11,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.60 : 19,087.92 = 8,527.50 : x
  2. Step 2: Convert to fraction form
    13,832.60/19,087.92 = 8,527.50/x
  3. Step 3: Cross multiply
    13,832.60x = 19,087.92 × 8,527.50
  4. Step 4: Simplify right side
    13,832.60x = 162,772,237.80
  5. Step 5: Solve for x
    x = 162,772,237.80/13,832.60
  6. Step 6: Final answer
    x = 11,767.30

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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.