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Finding the Fourth Proportional to 13,786.29, 19,018.31 and 9,004.05

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Solution

The fourth proportional to 13,786.29, 19,018.31 and 9,004.05 is: 12,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.29 : 19,018.31 = 9,004.05 : x
  2. Step 2: Convert to fraction form
    13,786.29/19,018.31 = 9,004.05/x
  3. Step 3: Cross multiply
    13,786.29x = 19,018.31 × 9,004.05
  4. Step 4: Simplify right side
    13,786.29x = 171,241,769.14
  5. Step 5: Solve for x
    x = 171,241,769.14/13,786.29
  6. Step 6: Final answer
    x = 12,421.16

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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.