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Finding the Fourth Proportional to 13,402.02, 20,106.42 and 7,860

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Solution

The fourth proportional to 13,402.02, 20,106.42 and 7,860 is: 11,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.02 : 20,106.42 = 7,860 : x
  2. Step 2: Convert to fraction form
    13,402.02/20,106.42 = 7,860/x
  3. Step 3: Cross multiply
    13,402.02x = 20,106.42 × 7,860
  4. Step 4: Simplify right side
    13,402.02x = 158,036,461.20
  5. Step 5: Solve for x
    x = 158,036,461.20/13,402.02
  6. Step 6: Final answer
    x = 11,791.99

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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.