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Finding the Fourth Proportional to 16,876.40, 25,314.60 and 5,782.10

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Solution

The fourth proportional to 16,876.40, 25,314.60 and 5,782.10 is: 8,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.40 : 25,314.60 = 5,782.10 : x
  2. Step 2: Convert to fraction form
    16,876.40/25,314.60 = 5,782.10/x
  3. Step 3: Cross multiply
    16,876.40x = 25,314.60 × 5,782.10
  4. Step 4: Simplify right side
    16,876.40x = 146,371,548.66
  5. Step 5: Solve for x
    x = 146,371,548.66/16,876.40
  6. Step 6: Final answer
    x = 8,673.15

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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.