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Finding the Fourth Proportional to 19,880.83, 29,824.89 and 6,554.58

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Solution

The fourth proportional to 19,880.83, 29,824.89 and 6,554.58 is: 9,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.83 : 29,824.89 = 6,554.58 : x
  2. Step 2: Convert to fraction form
    19,880.83/29,824.89 = 6,554.58/x
  3. Step 3: Cross multiply
    19,880.83x = 29,824.89 × 6,554.58
  4. Step 4: Simplify right side
    19,880.83x = 195,489,627.50
  5. Step 5: Solve for x
    x = 195,489,627.50/19,880.83
  6. Step 6: Final answer
    x = 9,833.07

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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.