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Finding the Fourth Proportional to 16,682.32, 23,018.40 and 9,512.10

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Solution

The fourth proportional to 16,682.32, 23,018.40 and 9,512.10 is: 13,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.32 : 23,018.40 = 9,512.10 : x
  2. Step 2: Convert to fraction form
    16,682.32/23,018.40 = 9,512.10/x
  3. Step 3: Cross multiply
    16,682.32x = 23,018.40 × 9,512.10
  4. Step 4: Simplify right side
    16,682.32x = 218,953,322.64
  5. Step 5: Solve for x
    x = 218,953,322.64/16,682.32
  6. Step 6: Final answer
    x = 13,124.87

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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.