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Finding the Fourth Proportional to 14,879.14, 20,534.83 and 9,506.49

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Solution

The fourth proportional to 14,879.14, 20,534.83 and 9,506.49 is: 13,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,879.14 : 20,534.83 = 9,506.49 : x
  2. Step 2: Convert to fraction form
    14,879.14/20,534.83 = 9,506.49/x
  3. Step 3: Cross multiply
    14,879.14x = 20,534.83 × 9,506.49
  4. Step 4: Simplify right side
    14,879.14x = 195,214,053.37
  5. Step 5: Solve for x
    x = 195,214,053.37/14,879.14
  6. Step 6: Final answer
    x = 13,119.98

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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.