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Finding the Fourth Proportional to 22,296.10, 33,435.03 and 9,646.57

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Solution

The fourth proportional to 22,296.10, 33,435.03 and 9,646.57 is: 14,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.10 : 33,435.03 = 9,646.57 : x
  2. Step 2: Convert to fraction form
    22,296.10/33,435.03 = 9,646.57/x
  3. Step 3: Cross multiply
    22,296.10x = 33,435.03 × 9,646.57
  4. Step 4: Simplify right side
    22,296.10x = 322,533,357.35
  5. Step 5: Solve for x
    x = 322,533,357.35/22,296.10
  6. Step 6: Final answer
    x = 14,465.91

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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.