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Finding the Fourth Proportional to 16,482.42, 22,745.76 and 9,771.33

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Solution

The fourth proportional to 16,482.42, 22,745.76 and 9,771.33 is: 13,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.42 : 22,745.76 = 9,771.33 : x
  2. Step 2: Convert to fraction form
    16,482.42/22,745.76 = 9,771.33/x
  3. Step 3: Cross multiply
    16,482.42x = 22,745.76 × 9,771.33
  4. Step 4: Simplify right side
    16,482.42x = 222,256,327.06
  5. Step 5: Solve for x
    x = 222,256,327.06/16,482.42
  6. Step 6: Final answer
    x = 13,484.45

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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.