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Finding the Fourth Proportional to 14,577.24, 20,111.54 and 8,202.54

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Solution

The fourth proportional to 14,577.24, 20,111.54 and 8,202.54 is: 11,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.24 : 20,111.54 = 8,202.54 : x
  2. Step 2: Convert to fraction form
    14,577.24/20,111.54 = 8,202.54/x
  3. Step 3: Cross multiply
    14,577.24x = 20,111.54 × 8,202.54
  4. Step 4: Simplify right side
    14,577.24x = 164,965,711.31
  5. Step 5: Solve for x
    x = 164,965,711.31/14,577.24
  6. Step 6: Final answer
    x = 11,316.66

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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.