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Finding the Fourth Proportional to 12,052.72, 18,084.16 and 6,499.60

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Solution

The fourth proportional to 12,052.72, 18,084.16 and 6,499.60 is: 9,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.72 : 18,084.16 = 6,499.60 : x
  2. Step 2: Convert to fraction form
    12,052.72/18,084.16 = 6,499.60/x
  3. Step 3: Cross multiply
    12,052.72x = 18,084.16 × 6,499.60
  4. Step 4: Simplify right side
    12,052.72x = 117,539,806.34
  5. Step 5: Solve for x
    x = 117,539,806.34/12,052.72
  6. Step 6: Final answer
    x = 9,752.14

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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.