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Finding the Fourth Proportional to 14,313.09, 19,742.07 and 13,831.41

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Solution

The fourth proportional to 14,313.09, 19,742.07 and 13,831.41 is: 19,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.09 : 19,742.07 = 13,831.41 : x
  2. Step 2: Convert to fraction form
    14,313.09/19,742.07 = 13,831.41/x
  3. Step 3: Cross multiply
    14,313.09x = 19,742.07 × 13,831.41
  4. Step 4: Simplify right side
    14,313.09x = 273,060,664.42
  5. Step 5: Solve for x
    x = 273,060,664.42/14,313.09
  6. Step 6: Final answer
    x = 19,077.69

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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.