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Finding the Fourth Proportional to 23,541, 32,487.32 and 12,931

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Solution

The fourth proportional to 23,541, 32,487.32 and 12,931 is: 17,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 32,487.32 = 12,931 : x
  2. Step 2: Convert to fraction form
    23,541/32,487.32 = 12,931/x
  3. Step 3: Cross multiply
    23,541x = 32,487.32 × 12,931
  4. Step 4: Simplify right side
    23,541x = 420,093,534.92
  5. Step 5: Solve for x
    x = 420,093,534.92/23,541
  6. Step 6: Final answer
    x = 17,845.19

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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.