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Finding the Fourth Proportional to 11,759.30, 17,638.95 and 9,164.18

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Solution

The fourth proportional to 11,759.30, 17,638.95 and 9,164.18 is: 13,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.30 : 17,638.95 = 9,164.18 : x
  2. Step 2: Convert to fraction form
    11,759.30/17,638.95 = 9,164.18/x
  3. Step 3: Cross multiply
    11,759.30x = 17,638.95 × 9,164.18
  4. Step 4: Simplify right side
    11,759.30x = 161,646,512.81
  5. Step 5: Solve for x
    x = 161,646,512.81/11,759.30
  6. Step 6: Final answer
    x = 13,746.27

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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.