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Finding the Fourth Proportional to 23,442.75, 35,152.16 and 7,637.62

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Solution

The fourth proportional to 23,442.75, 35,152.16 and 7,637.62 is: 11,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.75 : 35,152.16 = 7,637.62 : x
  2. Step 2: Convert to fraction form
    23,442.75/35,152.16 = 7,637.62/x
  3. Step 3: Cross multiply
    23,442.75x = 35,152.16 × 7,637.62
  4. Step 4: Simplify right side
    23,442.75x = 268,478,771.47
  5. Step 5: Solve for x
    x = 268,478,771.47/23,442.75
  6. Step 6: Final answer
    x = 11,452.53

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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.