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Finding the Fourth Proportional to 14,185.92, 19,577.06 and 7,813.18

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Solution

The fourth proportional to 14,185.92, 19,577.06 and 7,813.18 is: 10,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.92 : 19,577.06 = 7,813.18 : x
  2. Step 2: Convert to fraction form
    14,185.92/19,577.06 = 7,813.18/x
  3. Step 3: Cross multiply
    14,185.92x = 19,577.06 × 7,813.18
  4. Step 4: Simplify right side
    14,185.92x = 152,959,093.65
  5. Step 5: Solve for x
    x = 152,959,093.65/14,185.92
  6. Step 6: Final answer
    x = 10,782.46

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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.