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Finding the Fourth Proportional to 12,896.10, 17,796.88 and 7,307.10

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Solution

The fourth proportional to 12,896.10, 17,796.88 and 7,307.10 is: 10,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.10 : 17,796.88 = 7,307.10 : x
  2. Step 2: Convert to fraction form
    12,896.10/17,796.88 = 7,307.10/x
  3. Step 3: Cross multiply
    12,896.10x = 17,796.88 × 7,307.10
  4. Step 4: Simplify right side
    12,896.10x = 130,043,492.86
  5. Step 5: Solve for x
    x = 130,043,492.86/12,896.10
  6. Step 6: Final answer
    x = 10,083.94

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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.