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Finding the Fourth Proportional to 23,599.08, 35,410.94 and 9,569.48

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Solution

The fourth proportional to 23,599.08, 35,410.94 and 9,569.48 is: 14,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.08 : 35,410.94 = 9,569.48 : x
  2. Step 2: Convert to fraction form
    23,599.08/35,410.94 = 9,569.48/x
  3. Step 3: Cross multiply
    23,599.08x = 35,410.94 × 9,569.48
  4. Step 4: Simplify right side
    23,599.08x = 338,864,093.09
  5. Step 5: Solve for x
    x = 338,864,093.09/23,599.08
  6. Step 6: Final answer
    x = 14,359.21

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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.