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Finding the Fourth Proportional to 22,429.74, 33,647.32 and 9,291.32

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Solution

The fourth proportional to 22,429.74, 33,647.32 and 9,291.32 is: 13,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.74 : 33,647.32 = 9,291.32 : x
  2. Step 2: Convert to fraction form
    22,429.74/33,647.32 = 9,291.32/x
  3. Step 3: Cross multiply
    22,429.74x = 33,647.32 × 9,291.32
  4. Step 4: Simplify right side
    22,429.74x = 312,628,017.26
  5. Step 5: Solve for x
    x = 312,628,017.26/22,429.74
  6. Step 6: Final answer
    x = 13,938.10

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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.