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Finding the Fourth Proportional to 14,459.80, 21,690.70 and 6,138.84

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Solution

The fourth proportional to 14,459.80, 21,690.70 and 6,138.84 is: 9,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.80 : 21,690.70 = 6,138.84 : x
  2. Step 2: Convert to fraction form
    14,459.80/21,690.70 = 6,138.84/x
  3. Step 3: Cross multiply
    14,459.80x = 21,690.70 × 6,138.84
  4. Step 4: Simplify right side
    14,459.80x = 133,155,736.79
  5. Step 5: Solve for x
    x = 133,155,736.79/14,459.80
  6. Step 6: Final answer
    x = 9,208.68

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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.