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Finding the Fourth Proportional to 10,999.16, 16,484.14 and 9,531.44

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Solution

The fourth proportional to 10,999.16, 16,484.14 and 9,531.44 is: 14,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.16 : 16,484.14 = 9,531.44 : x
  2. Step 2: Convert to fraction form
    10,999.16/16,484.14 = 9,531.44/x
  3. Step 3: Cross multiply
    10,999.16x = 16,484.14 × 9,531.44
  4. Step 4: Simplify right side
    10,999.16x = 157,117,591.36
  5. Step 5: Solve for x
    x = 157,117,591.36/10,999.16
  6. Step 6: Final answer
    x = 14,284.51

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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.