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Finding the Fourth Proportional to 13,985.06, 20,949.89 and 9,058.14

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Solution

The fourth proportional to 13,985.06, 20,949.89 and 9,058.14 is: 13,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.06 : 20,949.89 = 9,058.14 : x
  2. Step 2: Convert to fraction form
    13,985.06/20,949.89 = 9,058.14/x
  3. Step 3: Cross multiply
    13,985.06x = 20,949.89 × 9,058.14
  4. Step 4: Simplify right side
    13,985.06x = 189,766,991.31
  5. Step 5: Solve for x
    x = 189,766,991.31/13,985.06
  6. Step 6: Final answer
    x = 13,569.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.