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Finding the Fourth Proportional to 17,738.58, 24,477.99 and 9,780.63

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Solution

The fourth proportional to 17,738.58, 24,477.99 and 9,780.63 is: 13,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.58 : 24,477.99 = 9,780.63 : x
  2. Step 2: Convert to fraction form
    17,738.58/24,477.99 = 9,780.63/x
  3. Step 3: Cross multiply
    17,738.58x = 24,477.99 × 9,780.63
  4. Step 4: Simplify right side
    17,738.58x = 239,410,172.55
  5. Step 5: Solve for x
    x = 239,410,172.55/17,738.58
  6. Step 6: Final answer
    x = 13,496.58

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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.