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Finding the Fourth Proportional to 23,514.56, 32,409.68 and 22,407.30

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Solution

The fourth proportional to 23,514.56, 32,409.68 and 22,407.30 is: 30,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.56 : 32,409.68 = 22,407.30 : x
  2. Step 2: Convert to fraction form
    23,514.56/32,409.68 = 22,407.30/x
  3. Step 3: Cross multiply
    23,514.56x = 32,409.68 × 22,407.30
  4. Step 4: Simplify right side
    23,514.56x = 726,213,422.66
  5. Step 5: Solve for x
    x = 726,213,422.66/23,514.56
  6. Step 6: Final answer
    x = 30,883.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.