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Finding the Fourth Proportional to 12,621.44, 18,931.68 and 5,224

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Solution

The fourth proportional to 12,621.44, 18,931.68 and 5,224 is: 7,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,621.44 : 18,931.68 = 5,224 : x
  2. Step 2: Convert to fraction form
    12,621.44/18,931.68 = 5,224/x
  3. Step 3: Cross multiply
    12,621.44x = 18,931.68 × 5,224
  4. Step 4: Simplify right side
    12,621.44x = 98,899,096.32
  5. Step 5: Solve for x
    x = 98,899,096.32/12,621.44
  6. Step 6: Final answer
    x = 7,835.80

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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.