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Finding the Fourth Proportional to 23,565.25, 35,353.09 and 7,775.17

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Solution

The fourth proportional to 23,565.25, 35,353.09 and 7,775.17 is: 11,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.25 : 35,353.09 = 7,775.17 : x
  2. Step 2: Convert to fraction form
    23,565.25/35,353.09 = 7,775.17/x
  3. Step 3: Cross multiply
    23,565.25x = 35,353.09 × 7,775.17
  4. Step 4: Simplify right side
    23,565.25x = 274,876,206.11
  5. Step 5: Solve for x
    x = 274,876,206.11/23,565.25
  6. Step 6: Final answer
    x = 11,664.47

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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.