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Finding the Fourth Proportional to 19,961.64, 29,946.78 and 9,971.82

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Solution

The fourth proportional to 19,961.64, 29,946.78 and 9,971.82 is: 14,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,961.64 : 29,946.78 = 9,971.82 : x
  2. Step 2: Convert to fraction form
    19,961.64/29,946.78 = 9,971.82/x
  3. Step 3: Cross multiply
    19,961.64x = 29,946.78 × 9,971.82
  4. Step 4: Simplify right side
    19,961.64x = 298,623,899.74
  5. Step 5: Solve for x
    x = 298,623,899.74/19,961.64
  6. Step 6: Final answer
    x = 14,959.89

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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.