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Finding the Fourth Proportional to 12,971.82, 19,439.28 and 9,999

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Solution

The fourth proportional to 12,971.82, 19,439.28 and 9,999 is: 14,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.82 : 19,439.28 = 9,999 : x
  2. Step 2: Convert to fraction form
    12,971.82/19,439.28 = 9,999/x
  3. Step 3: Cross multiply
    12,971.82x = 19,439.28 × 9,999
  4. Step 4: Simplify right side
    12,971.82x = 194,373,360.72
  5. Step 5: Solve for x
    x = 194,373,360.72/12,971.82
  6. Step 6: Final answer
    x = 14,984.28

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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.