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Finding the Fourth Proportional to 12,177.69, 18,259.47 and 4,773.48

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Solution

The fourth proportional to 12,177.69, 18,259.47 and 4,773.48 is: 7,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.69 : 18,259.47 = 4,773.48 : x
  2. Step 2: Convert to fraction form
    12,177.69/18,259.47 = 4,773.48/x
  3. Step 3: Cross multiply
    12,177.69x = 18,259.47 × 4,773.48
  4. Step 4: Simplify right side
    12,177.69x = 87,161,214.86
  5. Step 5: Solve for x
    x = 87,161,214.86/12,177.69
  6. Step 6: Final answer
    x = 7,157.45

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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.