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Finding the Fourth Proportional to 21,635.89, 32,458.53 and 6,643.06

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Solution

The fourth proportional to 21,635.89, 32,458.53 and 6,643.06 is: 9,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.89 : 32,458.53 = 6,643.06 : x
  2. Step 2: Convert to fraction form
    21,635.89/32,458.53 = 6,643.06/x
  3. Step 3: Cross multiply
    21,635.89x = 32,458.53 × 6,643.06
  4. Step 4: Simplify right side
    21,635.89x = 215,623,929.09
  5. Step 5: Solve for x
    x = 215,623,929.09/21,635.89
  6. Step 6: Final answer
    x = 9,966.03

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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.