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Finding the Fourth Proportional to 23,837.70, 35,762.76 and 9,046.92

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Solution

The fourth proportional to 23,837.70, 35,762.76 and 9,046.92 is: 13,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.70 : 35,762.76 = 9,046.92 : x
  2. Step 2: Convert to fraction form
    23,837.70/35,762.76 = 9,046.92/x
  3. Step 3: Cross multiply
    23,837.70x = 35,762.76 × 9,046.92
  4. Step 4: Simplify right side
    23,837.70x = 323,542,828.70
  5. Step 5: Solve for x
    x = 323,542,828.70/23,837.70
  6. Step 6: Final answer
    x = 13,572.74

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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.