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Finding the Fourth Proportional to 13,776.78, 20,652.42 and 5,009.34

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Solution

The fourth proportional to 13,776.78, 20,652.42 and 5,009.34 is: 7,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.78 : 20,652.42 = 5,009.34 : x
  2. Step 2: Convert to fraction form
    13,776.78/20,652.42 = 5,009.34/x
  3. Step 3: Cross multiply
    13,776.78x = 20,652.42 × 5,009.34
  4. Step 4: Simplify right side
    13,776.78x = 103,454,993.60
  5. Step 5: Solve for x
    x = 103,454,993.60/13,776.78
  6. Step 6: Final answer
    x = 7,509.37

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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.