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Finding the Fourth Proportional to 21,505.02, 32,234.85 and 9,825.90

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Solution

The fourth proportional to 21,505.02, 32,234.85 and 9,825.90 is: 14,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.02 : 32,234.85 = 9,825.90 : x
  2. Step 2: Convert to fraction form
    21,505.02/32,234.85 = 9,825.90/x
  3. Step 3: Cross multiply
    21,505.02x = 32,234.85 × 9,825.90
  4. Step 4: Simplify right side
    21,505.02x = 316,736,412.62
  5. Step 5: Solve for x
    x = 316,736,412.62/21,505.02
  6. Step 6: Final answer
    x = 14,728.49

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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.