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Finding the Fourth Proportional to 13,498.58, 18,623.91 and 7,831.36

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Solution

The fourth proportional to 13,498.58, 18,623.91 and 7,831.36 is: 10,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.58 : 18,623.91 = 7,831.36 : x
  2. Step 2: Convert to fraction form
    13,498.58/18,623.91 = 7,831.36/x
  3. Step 3: Cross multiply
    13,498.58x = 18,623.91 × 7,831.36
  4. Step 4: Simplify right side
    13,498.58x = 145,850,504.66
  5. Step 5: Solve for x
    x = 145,850,504.66/13,498.58
  6. Step 6: Final answer
    x = 10,804.88

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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.