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Finding the Fourth Proportional to 14,804.69, 22,198.77 and 4,938.62

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Solution

The fourth proportional to 14,804.69, 22,198.77 and 4,938.62 is: 7,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.69 : 22,198.77 = 4,938.62 : x
  2. Step 2: Convert to fraction form
    14,804.69/22,198.77 = 4,938.62/x
  3. Step 3: Cross multiply
    14,804.69x = 22,198.77 × 4,938.62
  4. Step 4: Simplify right side
    14,804.69x = 109,631,178.50
  5. Step 5: Solve for x
    x = 109,631,178.50/14,804.69
  6. Step 6: Final answer
    x = 7,405.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.