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Finding the Fourth Proportional to 13,699.57, 20,548.68 and 3,838.63

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Solution

The fourth proportional to 13,699.57, 20,548.68 and 3,838.63 is: 5,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.57 : 20,548.68 = 3,838.63 : x
  2. Step 2: Convert to fraction form
    13,699.57/20,548.68 = 3,838.63/x
  3. Step 3: Cross multiply
    13,699.57x = 20,548.68 × 3,838.63
  4. Step 4: Simplify right side
    13,699.57x = 78,878,779.51
  5. Step 5: Solve for x
    x = 78,878,779.51/13,699.57
  6. Step 6: Final answer
    x = 5,757.76

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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.