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Finding the Fourth Proportional to 13,805.40, 19,053.21 and 10,278.66

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Solution

The fourth proportional to 13,805.40, 19,053.21 and 10,278.66 is: 14,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.40 : 19,053.21 = 10,278.66 : x
  2. Step 2: Convert to fraction form
    13,805.40/19,053.21 = 10,278.66/x
  3. Step 3: Cross multiply
    13,805.40x = 19,053.21 × 10,278.66
  4. Step 4: Simplify right side
    13,805.40x = 195,841,467.50
  5. Step 5: Solve for x
    x = 195,841,467.50/13,805.40
  6. Step 6: Final answer
    x = 14,185.86

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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.