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Finding the Fourth Proportional to 12,278.48, 16,946.33 and 7,243.93

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Solution

The fourth proportional to 12,278.48, 16,946.33 and 7,243.93 is: 9,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.48 : 16,946.33 = 7,243.93 : x
  2. Step 2: Convert to fraction form
    12,278.48/16,946.33 = 7,243.93/x
  3. Step 3: Cross multiply
    12,278.48x = 16,946.33 × 7,243.93
  4. Step 4: Simplify right side
    12,278.48x = 122,757,967.80
  5. Step 5: Solve for x
    x = 122,757,967.80/12,278.48
  6. Step 6: Final answer
    x = 9,997.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.