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Finding the Fourth Proportional to 16,782.66, 23,157 and 10,410.80

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Solution

The fourth proportional to 16,782.66, 23,157 and 10,410.80 is: 14,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.66 : 23,157 = 10,410.80 : x
  2. Step 2: Convert to fraction form
    16,782.66/23,157 = 10,410.80/x
  3. Step 3: Cross multiply
    16,782.66x = 23,157 × 10,410.80
  4. Step 4: Simplify right side
    16,782.66x = 241,082,779.82
  5. Step 5: Solve for x
    x = 241,082,779.82/16,782.66
  6. Step 6: Final answer
    x = 14,364.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.