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Finding the Fourth Proportional to 13,048.63, 19,576.18 and 3,814.63

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Solution

The fourth proportional to 13,048.63, 19,576.18 and 3,814.63 is: 5,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.63 : 19,576.18 = 3,814.63 : x
  2. Step 2: Convert to fraction form
    13,048.63/19,576.18 = 3,814.63/x
  3. Step 3: Cross multiply
    13,048.63x = 19,576.18 × 3,814.63
  4. Step 4: Simplify right side
    13,048.63x = 74,675,883.51
  5. Step 5: Solve for x
    x = 74,675,883.51/13,048.63
  6. Step 6: Final answer
    x = 5,722.89

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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.