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Finding the Fourth Proportional to 21,830.67, 32,745.78 and 9,340.11

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Solution

The fourth proportional to 21,830.67, 32,745.78 and 9,340.11 is: 14,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.67 : 32,745.78 = 9,340.11 : x
  2. Step 2: Convert to fraction form
    21,830.67/32,745.78 = 9,340.11/x
  3. Step 3: Cross multiply
    21,830.67x = 32,745.78 × 9,340.11
  4. Step 4: Simplify right side
    21,830.67x = 305,849,187.24
  5. Step 5: Solve for x
    x = 305,849,187.24/21,830.67
  6. Step 6: Final answer
    x = 14,010.07

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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.