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Finding the Fourth Proportional to 12,663.54, 18,997.47 and 5,646.10

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Solution

The fourth proportional to 12,663.54, 18,997.47 and 5,646.10 is: 8,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.54 : 18,997.47 = 5,646.10 : x
  2. Step 2: Convert to fraction form
    12,663.54/18,997.47 = 5,646.10/x
  3. Step 3: Cross multiply
    12,663.54x = 18,997.47 × 5,646.10
  4. Step 4: Simplify right side
    12,663.54x = 107,261,615.37
  5. Step 5: Solve for x
    x = 107,261,615.37/12,663.54
  6. Step 6: Final answer
    x = 8,470.11

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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.