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Finding the Fourth Proportional to 13,800.72, 20,709.21 and 5,036.16

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Solution

The fourth proportional to 13,800.72, 20,709.21 and 5,036.16 is: 7,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.72 : 20,709.21 = 5,036.16 : x
  2. Step 2: Convert to fraction form
    13,800.72/20,709.21 = 5,036.16/x
  3. Step 3: Cross multiply
    13,800.72x = 20,709.21 × 5,036.16
  4. Step 4: Simplify right side
    13,800.72x = 104,294,895.03
  5. Step 5: Solve for x
    x = 104,294,895.03/13,800.72
  6. Step 6: Final answer
    x = 7,557.21

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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.