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Finding the Fourth Proportional to 21,547.45, 32,321.18 and 6,757.50

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Solution

The fourth proportional to 21,547.45, 32,321.18 and 6,757.50 is: 10,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.45 : 32,321.18 = 6,757.50 : x
  2. Step 2: Convert to fraction form
    21,547.45/32,321.18 = 6,757.50/x
  3. Step 3: Cross multiply
    21,547.45x = 32,321.18 × 6,757.50
  4. Step 4: Simplify right side
    21,547.45x = 218,410,373.85
  5. Step 5: Solve for x
    x = 218,410,373.85/21,547.45
  6. Step 6: Final answer
    x = 10,136.25

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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.