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Finding the Fourth Proportional to 14,184.56, 21,245.16 and 10,280

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Solution

The fourth proportional to 14,184.56, 21,245.16 and 10,280 is: 15,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.56 : 21,245.16 = 10,280 : x
  2. Step 2: Convert to fraction form
    14,184.56/21,245.16 = 10,280/x
  3. Step 3: Cross multiply
    14,184.56x = 21,245.16 × 10,280
  4. Step 4: Simplify right side
    14,184.56x = 218,400,244.80
  5. Step 5: Solve for x
    x = 218,400,244.80/14,184.56
  6. Step 6: Final answer
    x = 15,397.04

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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.