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Finding the Fourth Proportional to 11,974.14, 16,518.59 and 9,303.27

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Solution

The fourth proportional to 11,974.14, 16,518.59 and 9,303.27 is: 12,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.14 : 16,518.59 = 9,303.27 : x
  2. Step 2: Convert to fraction form
    11,974.14/16,518.59 = 9,303.27/x
  3. Step 3: Cross multiply
    11,974.14x = 16,518.59 × 9,303.27
  4. Step 4: Simplify right side
    11,974.14x = 153,676,902.79
  5. Step 5: Solve for x
    x = 153,676,902.79/11,974.14
  6. Step 6: Final answer
    x = 12,834.07

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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.