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Finding the Fourth Proportional to 12,762.07, 17,613.83 and 8,223.47

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Solution

The fourth proportional to 12,762.07, 17,613.83 and 8,223.47 is: 11,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.07 : 17,613.83 = 8,223.47 : x
  2. Step 2: Convert to fraction form
    12,762.07/17,613.83 = 8,223.47/x
  3. Step 3: Cross multiply
    12,762.07x = 17,613.83 × 8,223.47
  4. Step 4: Simplify right side
    12,762.07x = 144,846,802.59
  5. Step 5: Solve for x
    x = 144,846,802.59/12,762.07
  6. Step 6: Final answer
    x = 11,349.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.