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Finding the Fourth Proportional to 22,546.08, 33,820.61 and 7,547.31

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Solution

The fourth proportional to 22,546.08, 33,820.61 and 7,547.31 is: 11,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.08 : 33,820.61 = 7,547.31 : x
  2. Step 2: Convert to fraction form
    22,546.08/33,820.61 = 7,547.31/x
  3. Step 3: Cross multiply
    22,546.08x = 33,820.61 × 7,547.31
  4. Step 4: Simplify right side
    22,546.08x = 255,254,590.32
  5. Step 5: Solve for x
    x = 255,254,590.32/22,546.08
  6. Step 6: Final answer
    x = 11,321.46

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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.