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Finding the Fourth Proportional to 13,570.49, 18,728.66 and 7,828.17

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Solution

The fourth proportional to 13,570.49, 18,728.66 and 7,828.17 is: 10,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.49 : 18,728.66 = 7,828.17 : x
  2. Step 2: Convert to fraction form
    13,570.49/18,728.66 = 7,828.17/x
  3. Step 3: Cross multiply
    13,570.49x = 18,728.66 × 7,828.17
  4. Step 4: Simplify right side
    13,570.49x = 146,611,134.35
  5. Step 5: Solve for x
    x = 146,611,134.35/13,570.49
  6. Step 6: Final answer
    x = 10,803.67

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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.