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Finding the Fourth Proportional to 13,495.30, 18,625.81 and 7,831.81

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Solution

The fourth proportional to 13,495.30, 18,625.81 and 7,831.81 is: 10,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.30 : 18,625.81 = 7,831.81 : x
  2. Step 2: Convert to fraction form
    13,495.30/18,625.81 = 7,831.81/x
  3. Step 3: Cross multiply
    13,495.30x = 18,625.81 × 7,831.81
  4. Step 4: Simplify right side
    13,495.30x = 145,873,805.02
  5. Step 5: Solve for x
    x = 145,873,805.02/13,495.30
  6. Step 6: Final answer
    x = 10,809.23

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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.