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Finding the Fourth Proportional to 12,033.69, 18,053.61 and 4,636.17

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Solution

The fourth proportional to 12,033.69, 18,053.61 and 4,636.17 is: 6,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.69 : 18,053.61 = 4,636.17 : x
  2. Step 2: Convert to fraction form
    12,033.69/18,053.61 = 4,636.17/x
  3. Step 3: Cross multiply
    12,033.69x = 18,053.61 × 4,636.17
  4. Step 4: Simplify right side
    12,033.69x = 83,699,514.81
  5. Step 5: Solve for x
    x = 83,699,514.81/12,033.69
  6. Step 6: Final answer
    x = 6,955.43

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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.