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Finding the Fourth Proportional to 16,829.40, 25,244.10 and 5,141.10

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Solution

The fourth proportional to 16,829.40, 25,244.10 and 5,141.10 is: 7,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.40 : 25,244.10 = 5,141.10 : x
  2. Step 2: Convert to fraction form
    16,829.40/25,244.10 = 5,141.10/x
  3. Step 3: Cross multiply
    16,829.40x = 25,244.10 × 5,141.10
  4. Step 4: Simplify right side
    16,829.40x = 129,782,442.51
  5. Step 5: Solve for x
    x = 129,782,442.51/16,829.40
  6. Step 6: Final answer
    x = 7,711.65

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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.