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Finding the Fourth Proportional to 12,435.66, 18,647.64 and 5,034.49

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Solution

The fourth proportional to 12,435.66, 18,647.64 and 5,034.49 is: 7,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.66 : 18,647.64 = 5,034.49 : x
  2. Step 2: Convert to fraction form
    12,435.66/18,647.64 = 5,034.49/x
  3. Step 3: Cross multiply
    12,435.66x = 18,647.64 × 5,034.49
  4. Step 4: Simplify right side
    12,435.66x = 93,881,310.48
  5. Step 5: Solve for x
    x = 93,881,310.48/12,435.66
  6. Step 6: Final answer
    x = 7,549.36

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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.