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Finding the Fourth Proportional to 22,521.64, 33,756.06 and 9,186.31

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Solution

The fourth proportional to 22,521.64, 33,756.06 and 9,186.31 is: 13,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.64 : 33,756.06 = 9,186.31 : x
  2. Step 2: Convert to fraction form
    22,521.64/33,756.06 = 9,186.31/x
  3. Step 3: Cross multiply
    22,521.64x = 33,756.06 × 9,186.31
  4. Step 4: Simplify right side
    22,521.64x = 310,093,416.83
  5. Step 5: Solve for x
    x = 310,093,416.83/22,521.64
  6. Step 6: Final answer
    x = 13,768.69

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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.