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Finding the Fourth Proportional to 13,772.09, 19,005.09 and 7,805.69

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Solution

The fourth proportional to 13,772.09, 19,005.09 and 7,805.69 is: 10,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.09 : 19,005.09 = 7,805.69 : x
  2. Step 2: Convert to fraction form
    13,772.09/19,005.09 = 7,805.69/x
  3. Step 3: Cross multiply
    13,772.09x = 19,005.09 × 7,805.69
  4. Step 4: Simplify right side
    13,772.09x = 148,347,831.84
  5. Step 5: Solve for x
    x = 148,347,831.84/13,772.09
  6. Step 6: Final answer
    x = 10,771.63

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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.