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Finding the Fourth Proportional to 16,705, 23,051.94 and 9,151.32

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Solution

The fourth proportional to 16,705, 23,051.94 and 9,151.32 is: 12,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705 : 23,051.94 = 9,151.32 : x
  2. Step 2: Convert to fraction form
    16,705/23,051.94 = 9,151.32/x
  3. Step 3: Cross multiply
    16,705x = 23,051.94 × 9,151.32
  4. Step 4: Simplify right side
    16,705x = 210,955,679.56
  5. Step 5: Solve for x
    x = 210,955,679.56/16,705
  6. Step 6: Final answer
    x = 12,628.30

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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.