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Finding the Fourth Proportional to 17,782.59, 24,540.47 and 9,825.32

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Solution

The fourth proportional to 17,782.59, 24,540.47 and 9,825.32 is: 13,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.59 : 24,540.47 = 9,825.32 : x
  2. Step 2: Convert to fraction form
    17,782.59/24,540.47 = 9,825.32/x
  3. Step 3: Cross multiply
    17,782.59x = 24,540.47 × 9,825.32
  4. Step 4: Simplify right side
    17,782.59x = 241,117,970.70
  5. Step 5: Solve for x
    x = 241,117,970.70/17,782.59
  6. Step 6: Final answer
    x = 13,559.22

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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.