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Finding the Fourth Proportional to 14,441.67, 21,673.89 and 7,421.40

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Solution

The fourth proportional to 14,441.67, 21,673.89 and 7,421.40 is: 11,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.67 : 21,673.89 = 7,421.40 : x
  2. Step 2: Convert to fraction form
    14,441.67/21,673.89 = 7,421.40/x
  3. Step 3: Cross multiply
    14,441.67x = 21,673.89 × 7,421.40
  4. Step 4: Simplify right side
    14,441.67x = 160,850,607.25
  5. Step 5: Solve for x
    x = 160,850,607.25/14,441.67
  6. Step 6: Final answer
    x = 11,137.95

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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.