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Finding the Fourth Proportional to 21,830.44, 32,745.40 and 9,339.84

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Solution

The fourth proportional to 21,830.44, 32,745.40 and 9,339.84 is: 14,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.44 : 32,745.40 = 9,339.84 : x
  2. Step 2: Convert to fraction form
    21,830.44/32,745.40 = 9,339.84/x
  3. Step 3: Cross multiply
    21,830.44x = 32,745.40 × 9,339.84
  4. Step 4: Simplify right side
    21,830.44x = 305,836,796.74
  5. Step 5: Solve for x
    x = 305,836,796.74/21,830.44
  6. Step 6: Final answer
    x = 14,009.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.