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Finding the Fourth Proportional to 23,553, 32,503.16 and 12,942.84

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Solution

The fourth proportional to 23,553, 32,503.16 and 12,942.84 is: 17,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553 : 32,503.16 = 12,942.84 : x
  2. Step 2: Convert to fraction form
    23,553/32,503.16 = 12,942.84/x
  3. Step 3: Cross multiply
    23,553x = 32,503.16 × 12,942.84
  4. Step 4: Simplify right side
    23,553x = 420,683,199.37
  5. Step 5: Solve for x
    x = 420,683,199.37/23,553
  6. Step 6: Final answer
    x = 17,861.13

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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.