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Finding the Fourth Proportional to 15,487.98, 23,234.58 and 7,164.60

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Solution

The fourth proportional to 15,487.98, 23,234.58 and 7,164.60 is: 10,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.98 : 23,234.58 = 7,164.60 : x
  2. Step 2: Convert to fraction form
    15,487.98/23,234.58 = 7,164.60/x
  3. Step 3: Cross multiply
    15,487.98x = 23,234.58 × 7,164.60
  4. Step 4: Simplify right side
    15,487.98x = 166,466,471.87
  5. Step 5: Solve for x
    x = 166,466,471.87/15,487.98
  6. Step 6: Final answer
    x = 10,748.11

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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.