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Finding the Fourth Proportional to 23,522.54, 32,461.05 and 12,911.94

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Solution

The fourth proportional to 23,522.54, 32,461.05 and 12,911.94 is: 17,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.54 : 32,461.05 = 12,911.94 : x
  2. Step 2: Convert to fraction form
    23,522.54/32,461.05 = 12,911.94/x
  3. Step 3: Cross multiply
    23,522.54x = 32,461.05 × 12,911.94
  4. Step 4: Simplify right side
    23,522.54x = 419,135,129.94
  5. Step 5: Solve for x
    x = 419,135,129.94/23,522.54
  6. Step 6: Final answer
    x = 17,818.45

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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.