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Finding the Fourth Proportional to 15,535.76, 23,282.78 and 7,626.20

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Solution

The fourth proportional to 15,535.76, 23,282.78 and 7,626.20 is: 11,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.76 : 23,282.78 = 7,626.20 : x
  2. Step 2: Convert to fraction form
    15,535.76/23,282.78 = 7,626.20/x
  3. Step 3: Cross multiply
    15,535.76x = 23,282.78 × 7,626.20
  4. Step 4: Simplify right side
    15,535.76x = 177,559,136.84
  5. Step 5: Solve for x
    x = 177,559,136.84/15,535.76
  6. Step 6: Final answer
    x = 11,429.06

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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.