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Finding the Fourth Proportional to 23,561.22, 32,514.76 and 12,950.76

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Solution

The fourth proportional to 23,561.22, 32,514.76 and 12,950.76 is: 17,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.22 : 32,514.76 = 12,950.76 : x
  2. Step 2: Convert to fraction form
    23,561.22/32,514.76 = 12,950.76/x
  3. Step 3: Cross multiply
    23,561.22x = 32,514.76 × 12,950.76
  4. Step 4: Simplify right side
    23,561.22x = 421,090,853.22
  5. Step 5: Solve for x
    x = 421,090,853.22/23,561.22
  6. Step 6: Final answer
    x = 17,872.20

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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.