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Finding the Fourth Proportional to 22,417.64, 33,619.77 and 7,623.21

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Solution

The fourth proportional to 22,417.64, 33,619.77 and 7,623.21 is: 11,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.64 : 33,619.77 = 7,623.21 : x
  2. Step 2: Convert to fraction form
    22,417.64/33,619.77 = 7,623.21/x
  3. Step 3: Cross multiply
    22,417.64x = 33,619.77 × 7,623.21
  4. Step 4: Simplify right side
    22,417.64x = 256,290,566.86
  5. Step 5: Solve for x
    x = 256,290,566.86/22,417.64
  6. Step 6: Final answer
    x = 11,432.54

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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.