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Finding the Fourth Proportional to 23,657.72, 35,486.58 and 9,625.38

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Solution

The fourth proportional to 23,657.72, 35,486.58 and 9,625.38 is: 14,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.72 : 35,486.58 = 9,625.38 : x
  2. Step 2: Convert to fraction form
    23,657.72/35,486.58 = 9,625.38/x
  3. Step 3: Cross multiply
    23,657.72x = 35,486.58 × 9,625.38
  4. Step 4: Simplify right side
    23,657.72x = 341,571,817.40
  5. Step 5: Solve for x
    x = 341,571,817.40/23,657.72
  6. Step 6: Final answer
    x = 14,438.07

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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.