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Finding the Fourth Proportional to 14,114.75, 19,472.09 and 9,078.03

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Solution

The fourth proportional to 14,114.75, 19,472.09 and 9,078.03 is: 12,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.75 : 19,472.09 = 9,078.03 : x
  2. Step 2: Convert to fraction form
    14,114.75/19,472.09 = 9,078.03/x
  3. Step 3: Cross multiply
    14,114.75x = 19,472.09 × 9,078.03
  4. Step 4: Simplify right side
    14,114.75x = 176,768,171.79
  5. Step 5: Solve for x
    x = 176,768,171.79/14,114.75
  6. Step 6: Final answer
    x = 12,523.65

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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.