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Finding the Fourth Proportional to 13,715.28, 18,927.06 and 7,427.64

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Solution

The fourth proportional to 13,715.28, 18,927.06 and 7,427.64 is: 10,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.28 : 18,927.06 = 7,427.64 : x
  2. Step 2: Convert to fraction form
    13,715.28/18,927.06 = 7,427.64/x
  3. Step 3: Cross multiply
    13,715.28x = 18,927.06 × 7,427.64
  4. Step 4: Simplify right side
    13,715.28x = 140,583,387.94
  5. Step 5: Solve for x
    x = 140,583,387.94/13,715.28
  6. Step 6: Final answer
    x = 10,250.13

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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.