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Finding the Fourth Proportional to 12,456.64, 18,678.08 and 4,952.60

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Solution

The fourth proportional to 12,456.64, 18,678.08 and 4,952.60 is: 7,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.64 : 18,678.08 = 4,952.60 : x
  2. Step 2: Convert to fraction form
    12,456.64/18,678.08 = 4,952.60/x
  3. Step 3: Cross multiply
    12,456.64x = 18,678.08 × 4,952.60
  4. Step 4: Simplify right side
    12,456.64x = 92,505,010.90
  5. Step 5: Solve for x
    x = 92,505,010.90/12,456.64
  6. Step 6: Final answer
    x = 7,426.16

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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.