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Finding the Fourth Proportional to 11,349.60, 17,024.40 and 11,284.80

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Solution

The fourth proportional to 11,349.60, 17,024.40 and 11,284.80 is: 16,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.60 : 17,024.40 = 11,284.80 : x
  2. Step 2: Convert to fraction form
    11,349.60/17,024.40 = 11,284.80/x
  3. Step 3: Cross multiply
    11,349.60x = 17,024.40 × 11,284.80
  4. Step 4: Simplify right side
    11,349.60x = 192,116,949.12
  5. Step 5: Solve for x
    x = 192,116,949.12/11,349.60
  6. Step 6: Final answer
    x = 16,927.20

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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.