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Finding the Fourth Proportional to 11,484.16, 17,211.54 and 9,997.30

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Solution

The fourth proportional to 11,484.16, 17,211.54 and 9,997.30 is: 14,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.16 : 17,211.54 = 9,997.30 : x
  2. Step 2: Convert to fraction form
    11,484.16/17,211.54 = 9,997.30/x
  3. Step 3: Cross multiply
    11,484.16x = 17,211.54 × 9,997.30
  4. Step 4: Simplify right side
    11,484.16x = 172,068,928.84
  5. Step 5: Solve for x
    x = 172,068,928.84/11,484.16
  6. Step 6: Final answer
    x = 14,983.15

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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.