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Finding the Fourth Proportional to 14,205.58, 19,604.37 and 7,918

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Solution

The fourth proportional to 14,205.58, 19,604.37 and 7,918 is: 10,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.58 : 19,604.37 = 7,918 : x
  2. Step 2: Convert to fraction form
    14,205.58/19,604.37 = 7,918/x
  3. Step 3: Cross multiply
    14,205.58x = 19,604.37 × 7,918
  4. Step 4: Simplify right side
    14,205.58x = 155,227,401.66
  5. Step 5: Solve for x
    x = 155,227,401.66/14,205.58
  6. Step 6: Final answer
    x = 10,927.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.