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Finding the Fourth Proportional to 21,015.50, 31,527 and 6,976.38

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Solution

The fourth proportional to 21,015.50, 31,527 and 6,976.38 is: 10,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.50 : 31,527 = 6,976.38 : x
  2. Step 2: Convert to fraction form
    21,015.50/31,527 = 6,976.38/x
  3. Step 3: Cross multiply
    21,015.50x = 31,527 × 6,976.38
  4. Step 4: Simplify right side
    21,015.50x = 219,944,332.26
  5. Step 5: Solve for x
    x = 219,944,332.26/21,015.50
  6. Step 6: Final answer
    x = 10,465.81

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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.