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Finding the Fourth Proportional to 12,792.16, 19,180.64 and 7,601.60

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Solution

The fourth proportional to 12,792.16, 19,180.64 and 7,601.60 is: 11,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.16 : 19,180.64 = 7,601.60 : x
  2. Step 2: Convert to fraction form
    12,792.16/19,180.64 = 7,601.60/x
  3. Step 3: Cross multiply
    12,792.16x = 19,180.64 × 7,601.60
  4. Step 4: Simplify right side
    12,792.16x = 145,803,553.02
  5. Step 5: Solve for x
    x = 145,803,553.02/12,792.16
  6. Step 6: Final answer
    x = 11,397.88

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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.