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Finding the Fourth Proportional to 22,356.53, 33,525.71 and 9,707.21

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Solution

The fourth proportional to 22,356.53, 33,525.71 and 9,707.21 is: 14,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.53 : 33,525.71 = 9,707.21 : x
  2. Step 2: Convert to fraction form
    22,356.53/33,525.71 = 9,707.21/x
  3. Step 3: Cross multiply
    22,356.53x = 33,525.71 × 9,707.21
  4. Step 4: Simplify right side
    22,356.53x = 325,441,058.83
  5. Step 5: Solve for x
    x = 325,441,058.83/22,356.53
  6. Step 6: Final answer
    x = 14,556.87

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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.