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Finding the Fourth Proportional to 12,840.18, 17,715.69 and 7,535.22

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Solution

The fourth proportional to 12,840.18, 17,715.69 and 7,535.22 is: 10,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.18 : 17,715.69 = 7,535.22 : x
  2. Step 2: Convert to fraction form
    12,840.18/17,715.69 = 7,535.22/x
  3. Step 3: Cross multiply
    12,840.18x = 17,715.69 × 7,535.22
  4. Step 4: Simplify right side
    12,840.18x = 133,491,621.60
  5. Step 5: Solve for x
    x = 133,491,621.60/12,840.18
  6. Step 6: Final answer
    x = 10,396.40

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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.