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Finding the Fourth Proportional to 21,673.32, 32,509.86 and 6,090.96

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Solution

The fourth proportional to 21,673.32, 32,509.86 and 6,090.96 is: 9,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.32 : 32,509.86 = 6,090.96 : x
  2. Step 2: Convert to fraction form
    21,673.32/32,509.86 = 6,090.96/x
  3. Step 3: Cross multiply
    21,673.32x = 32,509.86 × 6,090.96
  4. Step 4: Simplify right side
    21,673.32x = 198,016,256.87
  5. Step 5: Solve for x
    x = 198,016,256.87/21,673.32
  6. Step 6: Final answer
    x = 9,136.41

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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.