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Finding the Fourth Proportional to 13,813.89, 20,703.02 and 5,038.35

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Solution

The fourth proportional to 13,813.89, 20,703.02 and 5,038.35 is: 7,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.89 : 20,703.02 = 5,038.35 : x
  2. Step 2: Convert to fraction form
    13,813.89/20,703.02 = 5,038.35/x
  3. Step 3: Cross multiply
    13,813.89x = 20,703.02 × 5,038.35
  4. Step 4: Simplify right side
    13,813.89x = 104,309,035.63
  5. Step 5: Solve for x
    x = 104,309,035.63/13,813.89
  6. Step 6: Final answer
    x = 7,551.03

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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.