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Finding the Fourth Proportional to 12,627.28, 18,931.28 and 7,696

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Solution

The fourth proportional to 12,627.28, 18,931.28 and 7,696 is: 11,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.28 : 18,931.28 = 7,696 : x
  2. Step 2: Convert to fraction form
    12,627.28/18,931.28 = 7,696/x
  3. Step 3: Cross multiply
    12,627.28x = 18,931.28 × 7,696
  4. Step 4: Simplify right side
    12,627.28x = 145,695,130.88
  5. Step 5: Solve for x
    x = 145,695,130.88/12,627.28
  6. Step 6: Final answer
    x = 11,538.12

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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.