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Finding the Fourth Proportional to 11,159.24, 16,705.94 and 9,775.27

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Solution

The fourth proportional to 11,159.24, 16,705.94 and 9,775.27 is: 14,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.24 : 16,705.94 = 9,775.27 : x
  2. Step 2: Convert to fraction form
    11,159.24/16,705.94 = 9,775.27/x
  3. Step 3: Cross multiply
    11,159.24x = 16,705.94 × 9,775.27
  4. Step 4: Simplify right side
    11,159.24x = 163,304,941.70
  5. Step 5: Solve for x
    x = 163,304,941.70/11,159.24
  6. Step 6: Final answer
    x = 14,634.06

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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.