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Finding the Fourth Proportional to 13,987.16, 19,305.04 and 8,022.86

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Solution

The fourth proportional to 13,987.16, 19,305.04 and 8,022.86 is: 11,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.16 : 19,305.04 = 8,022.86 : x
  2. Step 2: Convert to fraction form
    13,987.16/19,305.04 = 8,022.86/x
  3. Step 3: Cross multiply
    13,987.16x = 19,305.04 × 8,022.86
  4. Step 4: Simplify right side
    13,987.16x = 154,881,633.21
  5. Step 5: Solve for x
    x = 154,881,633.21/13,987.16
  6. Step 6: Final answer
    x = 11,073.13

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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.