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Finding the Fourth Proportional to 13,903.36, 20,852.80 and 5,142.40

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Solution

The fourth proportional to 13,903.36, 20,852.80 and 5,142.40 is: 7,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.36 : 20,852.80 = 5,142.40 : x
  2. Step 2: Convert to fraction form
    13,903.36/20,852.80 = 5,142.40/x
  3. Step 3: Cross multiply
    13,903.36x = 20,852.80 × 5,142.40
  4. Step 4: Simplify right side
    13,903.36x = 107,233,438.72
  5. Step 5: Solve for x
    x = 107,233,438.72/13,903.36
  6. Step 6: Final answer
    x = 7,712.77

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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.