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Finding the Fourth Proportional to 23,381.16, 32,266.01 and 12,770.82

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Solution

The fourth proportional to 23,381.16, 32,266.01 and 12,770.82 is: 17,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.16 : 32,266.01 = 12,770.82 : x
  2. Step 2: Convert to fraction form
    23,381.16/32,266.01 = 12,770.82/x
  3. Step 3: Cross multiply
    23,381.16x = 32,266.01 × 12,770.82
  4. Step 4: Simplify right side
    23,381.16x = 412,063,405.83
  5. Step 5: Solve for x
    x = 412,063,405.83/23,381.16
  6. Step 6: Final answer
    x = 17,623.74

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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.