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Finding the Fourth Proportional to 21,505.26, 32,261.66 and 9,819.66

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Solution

The fourth proportional to 21,505.26, 32,261.66 and 9,819.66 is: 14,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.26 : 32,261.66 = 9,819.66 : x
  2. Step 2: Convert to fraction form
    21,505.26/32,261.66 = 9,819.66/x
  3. Step 3: Cross multiply
    21,505.26x = 32,261.66 × 9,819.66
  4. Step 4: Simplify right side
    21,505.26x = 316,798,532.24
  5. Step 5: Solve for x
    x = 316,798,532.24/21,505.26
  6. Step 6: Final answer
    x = 14,731.21

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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.