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Finding the Fourth Proportional to 13,657.98, 20,491.88 and 4,774.61

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Solution

The fourth proportional to 13,657.98, 20,491.88 and 4,774.61 is: 7,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.98 : 20,491.88 = 4,774.61 : x
  2. Step 2: Convert to fraction form
    13,657.98/20,491.88 = 4,774.61/x
  3. Step 3: Cross multiply
    13,657.98x = 20,491.88 × 4,774.61
  4. Step 4: Simplify right side
    13,657.98x = 97,840,608.83
  5. Step 5: Solve for x
    x = 97,840,608.83/13,657.98
  6. Step 6: Final answer
    x = 7,163.62

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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.