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Finding the Fourth Proportional to 23,197.79, 32,012.94 and 12,587.42

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Solution

The fourth proportional to 23,197.79, 32,012.94 and 12,587.42 is: 17,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.79 : 32,012.94 = 12,587.42 : x
  2. Step 2: Convert to fraction form
    23,197.79/32,012.94 = 12,587.42/x
  3. Step 3: Cross multiply
    23,197.79x = 32,012.94 × 12,587.42
  4. Step 4: Simplify right side
    23,197.79x = 402,960,321.21
  5. Step 5: Solve for x
    x = 402,960,321.21/23,197.79
  6. Step 6: Final answer
    x = 17,370.63

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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.