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Finding the Fourth Proportional to 13,982.48, 19,293.66 and 8,317.11

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Solution

The fourth proportional to 13,982.48, 19,293.66 and 8,317.11 is: 11,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.48 : 19,293.66 = 8,317.11 : x
  2. Step 2: Convert to fraction form
    13,982.48/19,293.66 = 8,317.11/x
  3. Step 3: Cross multiply
    13,982.48x = 19,293.66 × 8,317.11
  4. Step 4: Simplify right side
    13,982.48x = 160,467,492.52
  5. Step 5: Solve for x
    x = 160,467,492.52/13,982.48
  6. Step 6: Final answer
    x = 11,476.33

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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.