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Finding the Fourth Proportional to 23,228.34, 34,843.16 and 5,698.14

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Solution

The fourth proportional to 23,228.34, 34,843.16 and 5,698.14 is: 8,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.34 : 34,843.16 = 5,698.14 : x
  2. Step 2: Convert to fraction form
    23,228.34/34,843.16 = 5,698.14/x
  3. Step 3: Cross multiply
    23,228.34x = 34,843.16 × 5,698.14
  4. Step 4: Simplify right side
    23,228.34x = 198,541,203.72
  5. Step 5: Solve for x
    x = 198,541,203.72/23,228.34
  6. Step 6: Final answer
    x = 8,547.37

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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.