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Finding the Fourth Proportional to 16,840.02, 23,238.99 and 9,767.10

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Solution

The fourth proportional to 16,840.02, 23,238.99 and 9,767.10 is: 13,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.02 : 23,238.99 = 9,767.10 : x
  2. Step 2: Convert to fraction form
    16,840.02/23,238.99 = 9,767.10/x
  3. Step 3: Cross multiply
    16,840.02x = 23,238.99 × 9,767.10
  4. Step 4: Simplify right side
    16,840.02x = 226,977,539.23
  5. Step 5: Solve for x
    x = 226,977,539.23/16,840.02
  6. Step 6: Final answer
    x = 13,478.46

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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.