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Finding the Fourth Proportional to 13,011.64, 19,499.97 and 6,758.65

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Solution

The fourth proportional to 13,011.64, 19,499.97 and 6,758.65 is: 10,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.64 : 19,499.97 = 6,758.65 : x
  2. Step 2: Convert to fraction form
    13,011.64/19,499.97 = 6,758.65/x
  3. Step 3: Cross multiply
    13,011.64x = 19,499.97 × 6,758.65
  4. Step 4: Simplify right side
    13,011.64x = 131,793,472.24
  5. Step 5: Solve for x
    x = 131,793,472.24/13,011.64
  6. Step 6: Final answer
    x = 10,128.89

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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.