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Finding the Fourth Proportional to 23,587.46, 35,369 and 6,945.34

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Solution

The fourth proportional to 23,587.46, 35,369 and 6,945.34 is: 10,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.46 : 35,369 = 6,945.34 : x
  2. Step 2: Convert to fraction form
    23,587.46/35,369 = 6,945.34/x
  3. Step 3: Cross multiply
    23,587.46x = 35,369 × 6,945.34
  4. Step 4: Simplify right side
    23,587.46x = 245,649,730.46
  5. Step 5: Solve for x
    x = 245,649,730.46/23,587.46
  6. Step 6: Final answer
    x = 10,414.42

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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.