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Finding the Fourth Proportional to 21,673.26, 32,509.89 and 6,091.02

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Solution

The fourth proportional to 21,673.26, 32,509.89 and 6,091.02 is: 9,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.26 : 32,509.89 = 6,091.02 : x
  2. Step 2: Convert to fraction form
    21,673.26/32,509.89 = 6,091.02/x
  3. Step 3: Cross multiply
    21,673.26x = 32,509.89 × 6,091.02
  4. Step 4: Simplify right side
    21,673.26x = 198,018,390.19
  5. Step 5: Solve for x
    x = 198,018,390.19/21,673.26
  6. Step 6: Final answer
    x = 9,136.53

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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.