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Finding the Fourth Proportional to 23,662.93, 35,484 and 8,861.47

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Solution

The fourth proportional to 23,662.93, 35,484 and 8,861.47 is: 13,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.93 : 35,484 = 8,861.47 : x
  2. Step 2: Convert to fraction form
    23,662.93/35,484 = 8,861.47/x
  3. Step 3: Cross multiply
    23,662.93x = 35,484 × 8,861.47
  4. Step 4: Simplify right side
    23,662.93x = 314,440,401.48
  5. Step 5: Solve for x
    x = 314,440,401.48/23,662.93
  6. Step 6: Final answer
    x = 13,288.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.