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Finding the Fourth Proportional to 16,709.56, 23,060.64 and 9,638.32

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Solution

The fourth proportional to 16,709.56, 23,060.64 and 9,638.32 is: 13,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.56 : 23,060.64 = 9,638.32 : x
  2. Step 2: Convert to fraction form
    16,709.56/23,060.64 = 9,638.32/x
  3. Step 3: Cross multiply
    16,709.56x = 23,060.64 × 9,638.32
  4. Step 4: Simplify right side
    16,709.56x = 222,265,827.72
  5. Step 5: Solve for x
    x = 222,265,827.72/16,709.56
  6. Step 6: Final answer
    x = 13,301.72

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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.