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Finding the Fourth Proportional to 13,048.97, 19,573.45 and 3,814.97

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Solution

The fourth proportional to 13,048.97, 19,573.45 and 3,814.97 is: 5,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.97 : 19,573.45 = 3,814.97 : x
  2. Step 2: Convert to fraction form
    13,048.97/19,573.45 = 3,814.97/x
  3. Step 3: Cross multiply
    13,048.97x = 19,573.45 × 3,814.97
  4. Step 4: Simplify right side
    13,048.97x = 74,672,017.14
  5. Step 5: Solve for x
    x = 74,672,017.14/13,048.97
  6. Step 6: Final answer
    x = 5,722.45

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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.