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Finding the Fourth Proportional to 11,486.16, 17,214.54 and 9,999.30

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Solution

The fourth proportional to 11,486.16, 17,214.54 and 9,999.30 is: 14,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.16 : 17,214.54 = 9,999.30 : x
  2. Step 2: Convert to fraction form
    11,486.16/17,214.54 = 9,999.30/x
  3. Step 3: Cross multiply
    11,486.16x = 17,214.54 × 9,999.30
  4. Step 4: Simplify right side
    11,486.16x = 172,133,349.82
  5. Step 5: Solve for x
    x = 172,133,349.82/11,486.16
  6. Step 6: Final answer
    x = 14,986.15

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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.