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Finding the Fourth Proportional to 11,459.20, 17,188.80 and 11,264.80

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Solution

The fourth proportional to 11,459.20, 17,188.80 and 11,264.80 is: 16,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.20 : 17,188.80 = 11,264.80 : x
  2. Step 2: Convert to fraction form
    11,459.20/17,188.80 = 11,264.80/x
  3. Step 3: Cross multiply
    11,459.20x = 17,188.80 × 11,264.80
  4. Step 4: Simplify right side
    11,459.20x = 193,628,394.24
  5. Step 5: Solve for x
    x = 193,628,394.24/11,459.20
  6. Step 6: Final answer
    x = 16,897.20

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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.