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Finding the Fourth Proportional to 23,522.54, 35,283.53 and 11,833.16

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Solution

The fourth proportional to 23,522.54, 35,283.53 and 11,833.16 is: 17,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.54 : 35,283.53 = 11,833.16 : x
  2. Step 2: Convert to fraction form
    23,522.54/35,283.53 = 11,833.16/x
  3. Step 3: Cross multiply
    23,522.54x = 35,283.53 × 11,833.16
  4. Step 4: Simplify right side
    23,522.54x = 417,515,509.02
  5. Step 5: Solve for x
    x = 417,515,509.02/23,522.54
  6. Step 6: Final answer
    x = 17,749.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.