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Finding the Fourth Proportional to 22,296.10, 33,425.10 and 9,140.08

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Solution

The fourth proportional to 22,296.10, 33,425.10 and 9,140.08 is: 13,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.10 : 33,425.10 = 9,140.08 : x
  2. Step 2: Convert to fraction form
    22,296.10/33,425.10 = 9,140.08/x
  3. Step 3: Cross multiply
    22,296.10x = 33,425.10 × 9,140.08
  4. Step 4: Simplify right side
    22,296.10x = 305,508,088.01
  5. Step 5: Solve for x
    x = 305,508,088.01/22,296.10
  6. Step 6: Final answer
    x = 13,702.31

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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.