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Finding the Fourth Proportional to 13,017.60, 19,514.88 and 11,758.08

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Solution

The fourth proportional to 13,017.60, 19,514.88 and 11,758.08 is: 17,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.60 : 19,514.88 = 11,758.08 : x
  2. Step 2: Convert to fraction form
    13,017.60/19,514.88 = 11,758.08/x
  3. Step 3: Cross multiply
    13,017.60x = 19,514.88 × 11,758.08
  4. Step 4: Simplify right side
    13,017.60x = 229,457,520.23
  5. Step 5: Solve for x
    x = 229,457,520.23/13,017.60
  6. Step 6: Final answer
    x = 17,626.71

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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.