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Finding the Fourth Proportional to 13,708.02, 20,562.03 and 7,852.14

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Solution

The fourth proportional to 13,708.02, 20,562.03 and 7,852.14 is: 11,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.02 : 20,562.03 = 7,852.14 : x
  2. Step 2: Convert to fraction form
    13,708.02/20,562.03 = 7,852.14/x
  3. Step 3: Cross multiply
    13,708.02x = 20,562.03 × 7,852.14
  4. Step 4: Simplify right side
    13,708.02x = 161,455,938.24
  5. Step 5: Solve for x
    x = 161,455,938.24/13,708.02
  6. Step 6: Final answer
    x = 11,778.21

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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.