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Finding the Fourth Proportional to 13,016.85, 19,506.83 and 9,514.92

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Solution

The fourth proportional to 13,016.85, 19,506.83 and 9,514.92 is: 14,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.85 : 19,506.83 = 9,514.92 : x
  2. Step 2: Convert to fraction form
    13,016.85/19,506.83 = 9,514.92/x
  3. Step 3: Cross multiply
    13,016.85x = 19,506.83 × 9,514.92
  4. Step 4: Simplify right side
    13,016.85x = 185,605,842.75
  5. Step 5: Solve for x
    x = 185,605,842.75/13,016.85
  6. Step 6: Final answer
    x = 14,258.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.