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Finding the Fourth Proportional to 14,411.30, 21,625.05 and 7,837.95

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Solution

The fourth proportional to 14,411.30, 21,625.05 and 7,837.95 is: 11,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.30 : 21,625.05 = 7,837.95 : x
  2. Step 2: Convert to fraction form
    14,411.30/21,625.05 = 7,837.95/x
  3. Step 3: Cross multiply
    14,411.30x = 21,625.05 × 7,837.95
  4. Step 4: Simplify right side
    14,411.30x = 169,496,006.58
  5. Step 5: Solve for x
    x = 169,496,006.58/14,411.30
  6. Step 6: Final answer
    x = 11,761.33

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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.