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Finding the Fourth Proportional to 13,494.36, 18,622.68 and 7,828.68

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Solution

The fourth proportional to 13,494.36, 18,622.68 and 7,828.68 is: 10,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.36 : 18,622.68 = 7,828.68 : x
  2. Step 2: Convert to fraction form
    13,494.36/18,622.68 = 7,828.68/x
  3. Step 3: Cross multiply
    13,494.36x = 18,622.68 × 7,828.68
  4. Step 4: Simplify right side
    13,494.36x = 145,791,002.46
  5. Step 5: Solve for x
    x = 145,791,002.46/13,494.36
  6. Step 6: Final answer
    x = 10,803.85

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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.