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Finding the Fourth Proportional to 12,280.14, 18,421.11 and 5,253.30

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Solution

The fourth proportional to 12,280.14, 18,421.11 and 5,253.30 is: 7,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.14 : 18,421.11 = 5,253.30 : x
  2. Step 2: Convert to fraction form
    12,280.14/18,421.11 = 5,253.30/x
  3. Step 3: Cross multiply
    12,280.14x = 18,421.11 × 5,253.30
  4. Step 4: Simplify right side
    12,280.14x = 96,771,617.16
  5. Step 5: Solve for x
    x = 96,771,617.16/12,280.14
  6. Step 6: Final answer
    x = 7,880.34

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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.