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Finding the Fourth Proportional to 14,140.35, 21,194.02 and 10,408.02

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Solution

The fourth proportional to 14,140.35, 21,194.02 and 10,408.02 is: 15,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.35 : 21,194.02 = 10,408.02 : x
  2. Step 2: Convert to fraction form
    14,140.35/21,194.02 = 10,408.02/x
  3. Step 3: Cross multiply
    14,140.35x = 21,194.02 × 10,408.02
  4. Step 4: Simplify right side
    14,140.35x = 220,587,836.79
  5. Step 5: Solve for x
    x = 220,587,836.79/14,140.35
  6. Step 6: Final answer
    x = 15,599.89

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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.