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Finding the Fourth Proportional to 13,535.45, 18,682.88 and 7,871.52

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Solution

The fourth proportional to 13,535.45, 18,682.88 and 7,871.52 is: 10,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.45 : 18,682.88 = 7,871.52 : x
  2. Step 2: Convert to fraction form
    13,535.45/18,682.88 = 7,871.52/x
  3. Step 3: Cross multiply
    13,535.45x = 18,682.88 × 7,871.52
  4. Step 4: Simplify right side
    13,535.45x = 147,062,624.22
  5. Step 5: Solve for x
    x = 147,062,624.22/13,535.45
  6. Step 6: Final answer
    x = 10,865.00

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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.