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Finding the Fourth Proportional to 14,684.58, 21,984.89 and 9,744.39

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Solution

The fourth proportional to 14,684.58, 21,984.89 and 9,744.39 is: 14,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.58 : 21,984.89 = 9,744.39 : x
  2. Step 2: Convert to fraction form
    14,684.58/21,984.89 = 9,744.39/x
  3. Step 3: Cross multiply
    14,684.58x = 21,984.89 × 9,744.39
  4. Step 4: Simplify right side
    14,684.58x = 214,229,293.55
  5. Step 5: Solve for x
    x = 214,229,293.55/14,684.58
  6. Step 6: Final answer
    x = 14,588.72

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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.