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Finding the Fourth Proportional to 12,896.32, 17,793.60 and 7,307.20

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Solution

The fourth proportional to 12,896.32, 17,793.60 and 7,307.20 is: 10,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.32 : 17,793.60 = 7,307.20 : x
  2. Step 2: Convert to fraction form
    12,896.32/17,793.60 = 7,307.20/x
  3. Step 3: Cross multiply
    12,896.32x = 17,793.60 × 7,307.20
  4. Step 4: Simplify right side
    12,896.32x = 130,021,393.92
  5. Step 5: Solve for x
    x = 130,021,393.92/12,896.32
  6. Step 6: Final answer
    x = 10,082.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.