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Finding the Fourth Proportional to 13,750.08, 18,976.04 and 7,781.76

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Solution

The fourth proportional to 13,750.08, 18,976.04 and 7,781.76 is: 10,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.08 : 18,976.04 = 7,781.76 : x
  2. Step 2: Convert to fraction form
    13,750.08/18,976.04 = 7,781.76/x
  3. Step 3: Cross multiply
    13,750.08x = 18,976.04 × 7,781.76
  4. Step 4: Simplify right side
    13,750.08x = 147,666,989.03
  5. Step 5: Solve for x
    x = 147,666,989.03/13,750.08
  6. Step 6: Final answer
    x = 10,739.35

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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.