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Finding the Fourth Proportional to 21,911.46, 32,868.99 and 6,329.22

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Solution

The fourth proportional to 21,911.46, 32,868.99 and 6,329.22 is: 9,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.46 : 32,868.99 = 6,329.22 : x
  2. Step 2: Convert to fraction form
    21,911.46/32,868.99 = 6,329.22/x
  3. Step 3: Cross multiply
    21,911.46x = 32,868.99 × 6,329.22
  4. Step 4: Simplify right side
    21,911.46x = 208,035,068.89
  5. Step 5: Solve for x
    x = 208,035,068.89/21,911.46
  6. Step 6: Final answer
    x = 9,494.35

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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.