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Finding the Fourth Proportional to 21,211.59, 31,809.30 and 6,976.77

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Solution

The fourth proportional to 21,211.59, 31,809.30 and 6,976.77 is: 10,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.59 : 31,809.30 = 6,976.77 : x
  2. Step 2: Convert to fraction form
    21,211.59/31,809.30 = 6,976.77/x
  3. Step 3: Cross multiply
    21,211.59x = 31,809.30 × 6,976.77
  4. Step 4: Simplify right side
    21,211.59x = 221,926,169.96
  5. Step 5: Solve for x
    x = 221,926,169.96/21,211.59
  6. Step 6: Final answer
    x = 10,462.50

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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.