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Finding the Fourth Proportional to 13,427.20, 18,528 and 7,838.72

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Solution

The fourth proportional to 13,427.20, 18,528 and 7,838.72 is: 10,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.20 : 18,528 = 7,838.72 : x
  2. Step 2: Convert to fraction form
    13,427.20/18,528 = 7,838.72/x
  3. Step 3: Cross multiply
    13,427.20x = 18,528 × 7,838.72
  4. Step 4: Simplify right side
    13,427.20x = 145,235,804.16
  5. Step 5: Solve for x
    x = 145,235,804.16/13,427.20
  6. Step 6: Final answer
    x = 10,816.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.