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Finding the Fourth Proportional to 13,715.70, 18,927.74 and 7,428.08

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Solution

The fourth proportional to 13,715.70, 18,927.74 and 7,428.08 is: 10,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.70 : 18,927.74 = 7,428.08 : x
  2. Step 2: Convert to fraction form
    13,715.70/18,927.74 = 7,428.08/x
  3. Step 3: Cross multiply
    13,715.70x = 18,927.74 × 7,428.08
  4. Step 4: Simplify right side
    13,715.70x = 140,596,766.94
  5. Step 5: Solve for x
    x = 140,596,766.94/13,715.70
  6. Step 6: Final answer
    x = 10,250.79

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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.