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Finding the Fourth Proportional to 17,782.84, 24,539.66 and 9,824.90

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Solution

The fourth proportional to 17,782.84, 24,539.66 and 9,824.90 is: 13,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.84 : 24,539.66 = 9,824.90 : x
  2. Step 2: Convert to fraction form
    17,782.84/24,539.66 = 9,824.90/x
  3. Step 3: Cross multiply
    17,782.84x = 24,539.66 × 9,824.90
  4. Step 4: Simplify right side
    17,782.84x = 241,099,570.55
  5. Step 5: Solve for x
    x = 241,099,570.55/17,782.84
  6. Step 6: Final answer
    x = 13,557.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.