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Finding the Fourth Proportional to 13,688.06, 20,532.09 and 7,840.58

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Solution

The fourth proportional to 13,688.06, 20,532.09 and 7,840.58 is: 11,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.06 : 20,532.09 = 7,840.58 : x
  2. Step 2: Convert to fraction form
    13,688.06/20,532.09 = 7,840.58/x
  3. Step 3: Cross multiply
    13,688.06x = 20,532.09 × 7,840.58
  4. Step 4: Simplify right side
    13,688.06x = 160,983,494.21
  5. Step 5: Solve for x
    x = 160,983,494.21/13,688.06
  6. Step 6: Final answer
    x = 11,760.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.