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Finding the Fourth Proportional to 13,985.40, 20,942.30 and 7,738.48

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Solution

The fourth proportional to 13,985.40, 20,942.30 and 7,738.48 is: 11,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.40 : 20,942.30 = 7,738.48 : x
  2. Step 2: Convert to fraction form
    13,985.40/20,942.30 = 7,738.48/x
  3. Step 3: Cross multiply
    13,985.40x = 20,942.30 × 7,738.48
  4. Step 4: Simplify right side
    13,985.40x = 162,061,536.69
  5. Step 5: Solve for x
    x = 162,061,536.69/13,985.40
  6. Step 6: Final answer
    x = 11,587.91

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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.