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Finding the Fourth Proportional to 14,366.09, 19,813.96 and 9,831.46

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Solution

The fourth proportional to 14,366.09, 19,813.96 and 9,831.46 is: 13,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.09 : 19,813.96 = 9,831.46 : x
  2. Step 2: Convert to fraction form
    14,366.09/19,813.96 = 9,831.46/x
  3. Step 3: Cross multiply
    14,366.09x = 19,813.96 × 9,831.46
  4. Step 4: Simplify right side
    14,366.09x = 194,800,081.07
  5. Step 5: Solve for x
    x = 194,800,081.07/14,366.09
  6. Step 6: Final answer
    x = 13,559.71

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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.