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Finding the Fourth Proportional to 19,880.16, 29,824.02 and 6,729

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Solution

The fourth proportional to 19,880.16, 29,824.02 and 6,729 is: 10,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.16 : 29,824.02 = 6,729 : x
  2. Step 2: Convert to fraction form
    19,880.16/29,824.02 = 6,729/x
  3. Step 3: Cross multiply
    19,880.16x = 29,824.02 × 6,729
  4. Step 4: Simplify right side
    19,880.16x = 200,685,830.58
  5. Step 5: Solve for x
    x = 200,685,830.58/19,880.16
  6. Step 6: Final answer
    x = 10,094.78

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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.