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Finding the Fourth Proportional to 17,782.47, 24,539.81 and 9,824.67

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Solution

The fourth proportional to 17,782.47, 24,539.81 and 9,824.67 is: 13,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.47 : 24,539.81 = 9,824.67 : x
  2. Step 2: Convert to fraction form
    17,782.47/24,539.81 = 9,824.67/x
  3. Step 3: Cross multiply
    17,782.47x = 24,539.81 × 9,824.67
  4. Step 4: Simplify right side
    17,782.47x = 241,095,485.99
  5. Step 5: Solve for x
    x = 241,095,485.99/17,782.47
  6. Step 6: Final answer
    x = 13,558.04

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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.