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Finding the Fourth Proportional to 13,139.53, 19,698.86 and 7,586.59

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Solution

The fourth proportional to 13,139.53, 19,698.86 and 7,586.59 is: 11,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.53 : 19,698.86 = 7,586.59 : x
  2. Step 2: Convert to fraction form
    13,139.53/19,698.86 = 7,586.59/x
  3. Step 3: Cross multiply
    13,139.53x = 19,698.86 × 7,586.59
  4. Step 4: Simplify right side
    13,139.53x = 149,447,136.35
  5. Step 5: Solve for x
    x = 149,447,136.35/13,139.53
  6. Step 6: Final answer
    x = 11,373.86

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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.