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Finding the Fourth Proportional to 23,857.32, 32,923.08 and 13,246.32

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Solution

The fourth proportional to 23,857.32, 32,923.08 and 13,246.32 is: 18,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.32 : 32,923.08 = 13,246.32 : x
  2. Step 2: Convert to fraction form
    23,857.32/32,923.08 = 13,246.32/x
  3. Step 3: Cross multiply
    23,857.32x = 32,923.08 × 13,246.32
  4. Step 4: Simplify right side
    23,857.32x = 436,109,653.07
  5. Step 5: Solve for x
    x = 436,109,653.07/23,857.32
  6. Step 6: Final answer
    x = 18,279.91

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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.