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Finding the Fourth Proportional to 23,122.59, 31,909.32 and 12,512.21

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Solution

The fourth proportional to 23,122.59, 31,909.32 and 12,512.21 is: 17,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122.59 : 31,909.32 = 12,512.21 : x
  2. Step 2: Convert to fraction form
    23,122.59/31,909.32 = 12,512.21/x
  3. Step 3: Cross multiply
    23,122.59x = 31,909.32 × 12,512.21
  4. Step 4: Simplify right side
    23,122.59x = 399,255,953.25
  5. Step 5: Solve for x
    x = 399,255,953.25/23,122.59
  6. Step 6: Final answer
    x = 17,266.92

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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.