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Finding the Fourth Proportional to 13,645.94, 18,831.31 and 7,677.47

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Solution

The fourth proportional to 13,645.94, 18,831.31 and 7,677.47 is: 10,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.94 : 18,831.31 = 7,677.47 : x
  2. Step 2: Convert to fraction form
    13,645.94/18,831.31 = 7,677.47/x
  3. Step 3: Cross multiply
    13,645.94x = 18,831.31 × 7,677.47
  4. Step 4: Simplify right side
    13,645.94x = 144,576,845.47
  5. Step 5: Solve for x
    x = 144,576,845.47/13,645.94
  6. Step 6: Final answer
    x = 10,594.87

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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.