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Finding the Fourth Proportional to 13,770, 19,007.10 and 8,104.68

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Solution

The fourth proportional to 13,770, 19,007.10 and 8,104.68 is: 11,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 19,007.10 = 8,104.68 : x
  2. Step 2: Convert to fraction form
    13,770/19,007.10 = 8,104.68/x
  3. Step 3: Cross multiply
    13,770x = 19,007.10 × 8,104.68
  4. Step 4: Simplify right side
    13,770x = 154,046,463.23
  5. Step 5: Solve for x
    x = 154,046,463.23/13,770
  6. Step 6: Final answer
    x = 11,187.11

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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.