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Finding the Fourth Proportional to 13,518.72, 20,278 and 3,657.96

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Solution

The fourth proportional to 13,518.72, 20,278 and 3,657.96 is: 5,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.72 : 20,278 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    13,518.72/20,278 = 3,657.96/x
  3. Step 3: Cross multiply
    13,518.72x = 20,278 × 3,657.96
  4. Step 4: Simplify right side
    13,518.72x = 74,176,112.88
  5. Step 5: Solve for x
    x = 74,176,112.88/13,518.72
  6. Step 6: Final answer
    x = 5,486.92

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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.