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Finding the Fourth Proportional to 21,547.50, 32,321.24 and 6,757.57

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Solution

The fourth proportional to 21,547.50, 32,321.24 and 6,757.57 is: 10,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.50 : 32,321.24 = 6,757.57 : x
  2. Step 2: Convert to fraction form
    21,547.50/32,321.24 = 6,757.57/x
  3. Step 3: Cross multiply
    21,547.50x = 32,321.24 × 6,757.57
  4. Step 4: Simplify right side
    21,547.50x = 218,412,929.95
  5. Step 5: Solve for x
    x = 218,412,929.95/21,547.50
  6. Step 6: Final answer
    x = 10,136.35

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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.