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Finding the Fourth Proportional to 14,033.76, 21,034.24 and 7,792.32

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Solution

The fourth proportional to 14,033.76, 21,034.24 and 7,792.32 is: 11,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.76 : 21,034.24 = 7,792.32 : x
  2. Step 2: Convert to fraction form
    14,033.76/21,034.24 = 7,792.32/x
  3. Step 3: Cross multiply
    14,033.76x = 21,034.24 × 7,792.32
  4. Step 4: Simplify right side
    14,033.76x = 163,905,529.04
  5. Step 5: Solve for x
    x = 163,905,529.04/14,033.76
  6. Step 6: Final answer
    x = 11,679.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.