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Finding the Fourth Proportional to 13,983.66, 19,291.06 and 8,315.18

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Solution

The fourth proportional to 13,983.66, 19,291.06 and 8,315.18 is: 11,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.66 : 19,291.06 = 8,315.18 : x
  2. Step 2: Convert to fraction form
    13,983.66/19,291.06 = 8,315.18/x
  3. Step 3: Cross multiply
    13,983.66x = 19,291.06 × 8,315.18
  4. Step 4: Simplify right side
    13,983.66x = 160,408,519.05
  5. Step 5: Solve for x
    x = 160,408,519.05/13,983.66
  6. Step 6: Final answer
    x = 11,471.14

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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.