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Finding the Fourth Proportional to 13,004.63, 19,503.68 and 3,642.22

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Solution

The fourth proportional to 13,004.63, 19,503.68 and 3,642.22 is: 5,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.63 : 19,503.68 = 3,642.22 : x
  2. Step 2: Convert to fraction form
    13,004.63/19,503.68 = 3,642.22/x
  3. Step 3: Cross multiply
    13,004.63x = 19,503.68 × 3,642.22
  4. Step 4: Simplify right side
    13,004.63x = 71,036,626.40
  5. Step 5: Solve for x
    x = 71,036,626.40/13,004.63
  6. Step 6: Final answer
    x = 5,462.41

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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.