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Finding the Fourth Proportional to 14,416.96, 19,894.32 and 9,390.81

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Solution

The fourth proportional to 14,416.96, 19,894.32 and 9,390.81 is: 12,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.96 : 19,894.32 = 9,390.81 : x
  2. Step 2: Convert to fraction form
    14,416.96/19,894.32 = 9,390.81/x
  3. Step 3: Cross multiply
    14,416.96x = 19,894.32 × 9,390.81
  4. Step 4: Simplify right side
    14,416.96x = 186,823,704.60
  5. Step 5: Solve for x
    x = 186,823,704.60/14,416.96
  6. Step 6: Final answer
    x = 12,958.61

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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.