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Finding the Fourth Proportional to 13,136.99, 19,706.70 and 5,237.58

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Solution

The fourth proportional to 13,136.99, 19,706.70 and 5,237.58 is: 7,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.99 : 19,706.70 = 5,237.58 : x
  2. Step 2: Convert to fraction form
    13,136.99/19,706.70 = 5,237.58/x
  3. Step 3: Cross multiply
    13,136.99x = 19,706.70 × 5,237.58
  4. Step 4: Simplify right side
    13,136.99x = 103,215,417.79
  5. Step 5: Solve for x
    x = 103,215,417.79/13,136.99
  6. Step 6: Final answer
    x = 7,856.86

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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.