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Finding the Fourth Proportional to 23,625.66, 35,438.64 and 6,095.64

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Solution

The fourth proportional to 23,625.66, 35,438.64 and 6,095.64 is: 9,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.66 : 35,438.64 = 6,095.64 : x
  2. Step 2: Convert to fraction form
    23,625.66/35,438.64 = 6,095.64/x
  3. Step 3: Cross multiply
    23,625.66x = 35,438.64 × 6,095.64
  4. Step 4: Simplify right side
    23,625.66x = 216,021,035.78
  5. Step 5: Solve for x
    x = 216,021,035.78/23,625.66
  6. Step 6: Final answer
    x = 9,143.49

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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.