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Finding the Fourth Proportional to 23,825.18, 35,724.09 and 9,024.65

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Solution

The fourth proportional to 23,825.18, 35,724.09 and 9,024.65 is: 13,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.18 : 35,724.09 = 9,024.65 : x
  2. Step 2: Convert to fraction form
    23,825.18/35,724.09 = 9,024.65/x
  3. Step 3: Cross multiply
    23,825.18x = 35,724.09 × 9,024.65
  4. Step 4: Simplify right side
    23,825.18x = 322,397,598.95
  5. Step 5: Solve for x
    x = 322,397,598.95/23,825.18
  6. Step 6: Final answer
    x = 13,531.80

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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.