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Finding the Fourth Proportional to 21,064.87, 31,594.02 and 7,025.14

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Solution

The fourth proportional to 21,064.87, 31,594.02 and 7,025.14 is: 10,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.87 : 31,594.02 = 7,025.14 : x
  2. Step 2: Convert to fraction form
    21,064.87/31,594.02 = 7,025.14/x
  3. Step 3: Cross multiply
    21,064.87x = 31,594.02 × 7,025.14
  4. Step 4: Simplify right side
    21,064.87x = 221,952,413.66
  5. Step 5: Solve for x
    x = 221,952,413.66/21,064.87
  6. Step 6: Final answer
    x = 10,536.61

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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.