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Finding the Fourth Proportional to 23,481.84, 32,407.19 and 13,411.78

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Solution

The fourth proportional to 23,481.84, 32,407.19 and 13,411.78 is: 18,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.84 : 32,407.19 = 13,411.78 : x
  2. Step 2: Convert to fraction form
    23,481.84/32,407.19 = 13,411.78/x
  3. Step 3: Cross multiply
    23,481.84x = 32,407.19 × 13,411.78
  4. Step 4: Simplify right side
    23,481.84x = 434,638,102.70
  5. Step 5: Solve for x
    x = 434,638,102.70/23,481.84
  6. Step 6: Final answer
    x = 18,509.54

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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.