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Finding the Fourth Proportional to 14,824.60, 22,237 and 4,964.65

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Solution

The fourth proportional to 14,824.60, 22,237 and 4,964.65 is: 7,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.60 : 22,237 = 4,964.65 : x
  2. Step 2: Convert to fraction form
    14,824.60/22,237 = 4,964.65/x
  3. Step 3: Cross multiply
    14,824.60x = 22,237 × 4,964.65
  4. Step 4: Simplify right side
    14,824.60x = 110,398,922.05
  5. Step 5: Solve for x
    x = 110,398,922.05/14,824.60
  6. Step 6: Final answer
    x = 7,447.01

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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.