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Finding the Fourth Proportional to 16,704.32, 23,051.68 and 9,252.16

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Solution

The fourth proportional to 16,704.32, 23,051.68 and 9,252.16 is: 12,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.32 : 23,051.68 = 9,252.16 : x
  2. Step 2: Convert to fraction form
    16,704.32/23,051.68 = 9,252.16/x
  3. Step 3: Cross multiply
    16,704.32x = 23,051.68 × 9,252.16
  4. Step 4: Simplify right side
    16,704.32x = 213,277,831.63
  5. Step 5: Solve for x
    x = 213,277,831.63/16,704.32
  6. Step 6: Final answer
    x = 12,767.82

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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.