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Finding the Fourth Proportional to 23,442.44, 35,168.10 and 7,646.15

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Solution

The fourth proportional to 23,442.44, 35,168.10 and 7,646.15 is: 11,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.44 : 35,168.10 = 7,646.15 : x
  2. Step 2: Convert to fraction form
    23,442.44/35,168.10 = 7,646.15/x
  3. Step 3: Cross multiply
    23,442.44x = 35,168.10 × 7,646.15
  4. Step 4: Simplify right side
    23,442.44x = 268,900,450.75
  5. Step 5: Solve for x
    x = 268,900,450.75/23,442.44
  6. Step 6: Final answer
    x = 11,470.67

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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.