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Finding the Fourth Proportional to 21,000.50, 31,506.90 and 6,209.80

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Solution

The fourth proportional to 21,000.50, 31,506.90 and 6,209.80 is: 9,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.50 : 31,506.90 = 6,209.80 : x
  2. Step 2: Convert to fraction form
    21,000.50/31,506.90 = 6,209.80/x
  3. Step 3: Cross multiply
    21,000.50x = 31,506.90 × 6,209.80
  4. Step 4: Simplify right side
    21,000.50x = 195,651,547.62
  5. Step 5: Solve for x
    x = 195,651,547.62/21,000.50
  6. Step 6: Final answer
    x = 9,316.52

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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.