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Finding the Fourth Proportional to 21,106.98, 31,641.84 and 7,950.15

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Solution

The fourth proportional to 21,106.98, 31,641.84 and 7,950.15 is: 11,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.98 : 31,641.84 = 7,950.15 : x
  2. Step 2: Convert to fraction form
    21,106.98/31,641.84 = 7,950.15/x
  3. Step 3: Cross multiply
    21,106.98x = 31,641.84 × 7,950.15
  4. Step 4: Simplify right side
    21,106.98x = 251,557,374.28
  5. Step 5: Solve for x
    x = 251,557,374.28/21,106.98
  6. Step 6: Final answer
    x = 11,918.21

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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.