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Finding the Fourth Proportional to 12,466.64, 18,688.42 and 6,542.30

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Solution

The fourth proportional to 12,466.64, 18,688.42 and 6,542.30 is: 9,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.64 : 18,688.42 = 6,542.30 : x
  2. Step 2: Convert to fraction form
    12,466.64/18,688.42 = 6,542.30/x
  3. Step 3: Cross multiply
    12,466.64x = 18,688.42 × 6,542.30
  4. Step 4: Simplify right side
    12,466.64x = 122,265,250.17
  5. Step 5: Solve for x
    x = 122,265,250.17/12,466.64
  6. Step 6: Final answer
    x = 9,807.39

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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.