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Finding the Fourth Proportional to 21,618.70, 32,430.74 and 6,825.44

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Solution

The fourth proportional to 21,618.70, 32,430.74 and 6,825.44 is: 10,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.70 : 32,430.74 = 6,825.44 : x
  2. Step 2: Convert to fraction form
    21,618.70/32,430.74 = 6,825.44/x
  3. Step 3: Cross multiply
    21,618.70x = 32,430.74 × 6,825.44
  4. Step 4: Simplify right side
    21,618.70x = 221,354,070.03
  5. Step 5: Solve for x
    x = 221,354,070.03/21,618.70
  6. Step 6: Final answer
    x = 10,239.01

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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.