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Finding the Fourth Proportional to 14,830.63, 22,245.82 and 4,969.84

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Solution

The fourth proportional to 14,830.63, 22,245.82 and 4,969.84 is: 7,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.63 : 22,245.82 = 4,969.84 : x
  2. Step 2: Convert to fraction form
    14,830.63/22,245.82 = 4,969.84/x
  3. Step 3: Cross multiply
    14,830.63x = 22,245.82 × 4,969.84
  4. Step 4: Simplify right side
    14,830.63x = 110,558,167.70
  5. Step 5: Solve for x
    x = 110,558,167.70/14,830.63
  6. Step 6: Final answer
    x = 7,454.72

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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.