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Finding the Fourth Proportional to 23,294.86, 32,146.94 and 12,684.53

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Solution

The fourth proportional to 23,294.86, 32,146.94 and 12,684.53 is: 17,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.86 : 32,146.94 = 12,684.53 : x
  2. Step 2: Convert to fraction form
    23,294.86/32,146.94 = 12,684.53/x
  3. Step 3: Cross multiply
    23,294.86x = 32,146.94 × 12,684.53
  4. Step 4: Simplify right side
    23,294.86x = 407,768,936.92
  5. Step 5: Solve for x
    x = 407,768,936.92/23,294.86
  6. Step 6: Final answer
    x = 17,504.68

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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.