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Finding the Fourth Proportional to 23,512, 32,446.48 and 12,901.60

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Solution

The fourth proportional to 23,512, 32,446.48 and 12,901.60 is: 17,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512 : 32,446.48 = 12,901.60 : x
  2. Step 2: Convert to fraction form
    23,512/32,446.48 = 12,901.60/x
  3. Step 3: Cross multiply
    23,512x = 32,446.48 × 12,901.60
  4. Step 4: Simplify right side
    23,512x = 418,611,506.37
  5. Step 5: Solve for x
    x = 418,611,506.37/23,512
  6. Step 6: Final answer
    x = 17,804.16

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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.