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Finding the Fourth Proportional to 23,522.70, 32,461.84 and 13,452.06

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Solution

The fourth proportional to 23,522.70, 32,461.84 and 13,452.06 is: 18,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.70 : 32,461.84 = 13,452.06 : x
  2. Step 2: Convert to fraction form
    23,522.70/32,461.84 = 13,452.06/x
  3. Step 3: Cross multiply
    23,522.70x = 32,461.84 × 13,452.06
  4. Step 4: Simplify right side
    23,522.70x = 436,678,619.39
  5. Step 5: Solve for x
    x = 436,678,619.39/23,522.70
  6. Step 6: Final answer
    x = 18,564.14

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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.