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Finding the Fourth Proportional to 23,522.86, 32,460.42 and 13,452.94

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Solution

The fourth proportional to 23,522.86, 32,460.42 and 13,452.94 is: 18,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.86 : 32,460.42 = 13,452.94 : x
  2. Step 2: Convert to fraction form
    23,522.86/32,460.42 = 13,452.94/x
  3. Step 3: Cross multiply
    23,522.86x = 32,460.42 × 13,452.94
  4. Step 4: Simplify right side
    23,522.86x = 436,688,082.63
  5. Step 5: Solve for x
    x = 436,688,082.63/23,522.86
  6. Step 6: Final answer
    x = 18,564.41

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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.