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Finding the Fourth Proportional to 17,782.34, 24,539.14 and 9,824.40

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Solution

The fourth proportional to 17,782.34, 24,539.14 and 9,824.40 is: 13,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.34 : 24,539.14 = 9,824.40 : x
  2. Step 2: Convert to fraction form
    17,782.34/24,539.14 = 9,824.40/x
  3. Step 3: Cross multiply
    17,782.34x = 24,539.14 × 9,824.40
  4. Step 4: Simplify right side
    17,782.34x = 241,082,327.02
  5. Step 5: Solve for x
    x = 241,082,327.02/17,782.34
  6. Step 6: Final answer
    x = 13,557.40

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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.