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Finding the Fourth Proportional to 13,920.99, 19,211.75 and 8,259.09

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Solution

The fourth proportional to 13,920.99, 19,211.75 and 8,259.09 is: 11,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.99 : 19,211.75 = 8,259.09 : x
  2. Step 2: Convert to fraction form
    13,920.99/19,211.75 = 8,259.09/x
  3. Step 3: Cross multiply
    13,920.99x = 19,211.75 × 8,259.09
  4. Step 4: Simplify right side
    13,920.99x = 158,671,434.95
  5. Step 5: Solve for x
    x = 158,671,434.95/13,920.99
  6. Step 6: Final answer
    x = 11,398.00

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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.