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Finding the Fourth Proportional to 23,384.10, 35,091.50 and 8,593.14

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Solution

The fourth proportional to 23,384.10, 35,091.50 and 8,593.14 is: 12,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.10 : 35,091.50 = 8,593.14 : x
  2. Step 2: Convert to fraction form
    23,384.10/35,091.50 = 8,593.14/x
  3. Step 3: Cross multiply
    23,384.10x = 35,091.50 × 8,593.14
  4. Step 4: Simplify right side
    23,384.10x = 301,546,129.34
  5. Step 5: Solve for x
    x = 301,546,129.34/23,384.10
  6. Step 6: Final answer
    x = 12,895.35

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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.