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Finding the Fourth Proportional to 12,116.90, 18,175.35 and 9,200.90

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Solution

The fourth proportional to 12,116.90, 18,175.35 and 9,200.90 is: 13,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.90 : 18,175.35 = 9,200.90 : x
  2. Step 2: Convert to fraction form
    12,116.90/18,175.35 = 9,200.90/x
  3. Step 3: Cross multiply
    12,116.90x = 18,175.35 × 9,200.90
  4. Step 4: Simplify right side
    12,116.90x = 167,229,577.82
  5. Step 5: Solve for x
    x = 167,229,577.82/12,116.90
  6. Step 6: Final answer
    x = 13,801.35

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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.