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Finding the Fourth Proportional to 21,461.43, 32,201.40 and 11,607.65

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Solution

The fourth proportional to 21,461.43, 32,201.40 and 11,607.65 is: 17,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.43 : 32,201.40 = 11,607.65 : x
  2. Step 2: Convert to fraction form
    21,461.43/32,201.40 = 11,607.65/x
  3. Step 3: Cross multiply
    21,461.43x = 32,201.40 × 11,607.65
  4. Step 4: Simplify right side
    21,461.43x = 373,782,361.66
  5. Step 5: Solve for x
    x = 373,782,361.66/21,461.43
  6. Step 6: Final answer
    x = 17,416.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.