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Finding the Fourth Proportional to 19,639.64, 29,450.82 and 7,319

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Solution

The fourth proportional to 19,639.64, 29,450.82 and 7,319 is: 10,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,639.64 : 29,450.82 = 7,319 : x
  2. Step 2: Convert to fraction form
    19,639.64/29,450.82 = 7,319/x
  3. Step 3: Cross multiply
    19,639.64x = 29,450.82 × 7,319
  4. Step 4: Simplify right side
    19,639.64x = 215,550,551.58
  5. Step 5: Solve for x
    x = 215,550,551.58/19,639.64
  6. Step 6: Final answer
    x = 10,975.28

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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.