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Finding the Fourth Proportional to 14,577.74, 21,872.76 and 7,182.26

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Solution

The fourth proportional to 14,577.74, 21,872.76 and 7,182.26 is: 10,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.74 : 21,872.76 = 7,182.26 : x
  2. Step 2: Convert to fraction form
    14,577.74/21,872.76 = 7,182.26/x
  3. Step 3: Cross multiply
    14,577.74x = 21,872.76 × 7,182.26
  4. Step 4: Simplify right side
    14,577.74x = 157,095,794.96
  5. Step 5: Solve for x
    x = 157,095,794.96/14,577.74
  6. Step 6: Final answer
    x = 10,776.42

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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.