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Finding the Fourth Proportional to 21,210.66, 31,805.82 and 7,879.14

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Solution

The fourth proportional to 21,210.66, 31,805.82 and 7,879.14 is: 11,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,210.66 : 31,805.82 = 7,879.14 : x
  2. Step 2: Convert to fraction form
    21,210.66/31,805.82 = 7,879.14/x
  3. Step 3: Cross multiply
    21,210.66x = 31,805.82 × 7,879.14
  4. Step 4: Simplify right side
    21,210.66x = 250,602,508.59
  5. Step 5: Solve for x
    x = 250,602,508.59/21,210.66
  6. Step 6: Final answer
    x = 11,814.93

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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.