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Finding the Fourth Proportional to 13,763.42, 18,989.34 and 7,713.02

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Solution

The fourth proportional to 13,763.42, 18,989.34 and 7,713.02 is: 10,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.42 : 18,989.34 = 7,713.02 : x
  2. Step 2: Convert to fraction form
    13,763.42/18,989.34 = 7,713.02/x
  3. Step 3: Cross multiply
    13,763.42x = 18,989.34 × 7,713.02
  4. Step 4: Simplify right side
    13,763.42x = 146,465,177.76
  5. Step 5: Solve for x
    x = 146,465,177.76/13,763.42
  6. Step 6: Final answer
    x = 10,641.63

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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.