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Finding the Fourth Proportional to 23,294.95, 32,146.02 and 12,684.65

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Solution

The fourth proportional to 23,294.95, 32,146.02 and 12,684.65 is: 17,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.95 : 32,146.02 = 12,684.65 : x
  2. Step 2: Convert to fraction form
    23,294.95/32,146.02 = 12,684.65/x
  3. Step 3: Cross multiply
    23,294.95x = 32,146.02 × 12,684.65
  4. Step 4: Simplify right side
    23,294.95x = 407,761,092.96
  5. Step 5: Solve for x
    x = 407,761,092.96/23,294.95
  6. Step 6: Final answer
    x = 17,504.27

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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.