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Finding the Fourth Proportional to 13,136.49, 19,705.95 and 5,237.10

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Solution

The fourth proportional to 13,136.49, 19,705.95 and 5,237.10 is: 7,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.49 : 19,705.95 = 5,237.10 : x
  2. Step 2: Convert to fraction form
    13,136.49/19,705.95 = 5,237.10/x
  3. Step 3: Cross multiply
    13,136.49x = 19,705.95 × 5,237.10
  4. Step 4: Simplify right side
    13,136.49x = 103,202,030.75
  5. Step 5: Solve for x
    x = 103,202,030.75/13,136.49
  6. Step 6: Final answer
    x = 7,856.13

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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.