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Finding the Fourth Proportional to 13,665.84, 18,851.64 and 9,190.80

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Solution

The fourth proportional to 13,665.84, 18,851.64 and 9,190.80 is: 12,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.84 : 18,851.64 = 9,190.80 : x
  2. Step 2: Convert to fraction form
    13,665.84/18,851.64 = 9,190.80/x
  3. Step 3: Cross multiply
    13,665.84x = 18,851.64 × 9,190.80
  4. Step 4: Simplify right side
    13,665.84x = 173,261,652.91
  5. Step 5: Solve for x
    x = 173,261,652.91/13,665.84
  6. Step 6: Final answer
    x = 12,678.45

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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.