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Finding the Fourth Proportional to 21,008.36, 31,495.53 and 7,858.82

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Solution

The fourth proportional to 21,008.36, 31,495.53 and 7,858.82 is: 11,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.36 : 31,495.53 = 7,858.82 : x
  2. Step 2: Convert to fraction form
    21,008.36/31,495.53 = 7,858.82/x
  3. Step 3: Cross multiply
    21,008.36x = 31,495.53 × 7,858.82
  4. Step 4: Simplify right side
    21,008.36x = 247,517,701.07
  5. Step 5: Solve for x
    x = 247,517,701.07/21,008.36
  6. Step 6: Final answer
    x = 11,781.87

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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.