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Finding the Fourth Proportional to 15,011.53, 20,715.35 and 8,297.24

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Solution

The fourth proportional to 15,011.53, 20,715.35 and 8,297.24 is: 11,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.53 : 20,715.35 = 8,297.24 : x
  2. Step 2: Convert to fraction form
    15,011.53/20,715.35 = 8,297.24/x
  3. Step 3: Cross multiply
    15,011.53x = 20,715.35 × 8,297.24
  4. Step 4: Simplify right side
    15,011.53x = 171,880,085.57
  5. Step 5: Solve for x
    x = 171,880,085.57/15,011.53
  6. Step 6: Final answer
    x = 11,449.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.