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Finding the Fourth Proportional to 13,136.52, 19,710.24 and 6,560.94

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Solution

The fourth proportional to 13,136.52, 19,710.24 and 6,560.94 is: 9,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.52 : 19,710.24 = 6,560.94 : x
  2. Step 2: Convert to fraction form
    13,136.52/19,710.24 = 6,560.94/x
  3. Step 3: Cross multiply
    13,136.52x = 19,710.24 × 6,560.94
  4. Step 4: Simplify right side
    13,136.52x = 129,317,702.03
  5. Step 5: Solve for x
    x = 129,317,702.03/13,136.52
  6. Step 6: Final answer
    x = 9,844.14

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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.