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Finding the Fourth Proportional to 19,997.59, 29,996.54 and 6,850.07

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Solution

The fourth proportional to 19,997.59, 29,996.54 and 6,850.07 is: 10,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.59 : 29,996.54 = 6,850.07 : x
  2. Step 2: Convert to fraction form
    19,997.59/29,996.54 = 6,850.07/x
  3. Step 3: Cross multiply
    19,997.59x = 29,996.54 × 6,850.07
  4. Step 4: Simplify right side
    19,997.59x = 205,478,364.51
  5. Step 5: Solve for x
    x = 205,478,364.51/19,997.59
  6. Step 6: Final answer
    x = 10,275.16

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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.