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Finding the Fourth Proportional to 23,788.32, 32,828.04 and 13,178.64

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Solution

The fourth proportional to 23,788.32, 32,828.04 and 13,178.64 is: 18,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.32 : 32,828.04 = 13,178.64 : x
  2. Step 2: Convert to fraction form
    23,788.32/32,828.04 = 13,178.64/x
  3. Step 3: Cross multiply
    23,788.32x = 32,828.04 × 13,178.64
  4. Step 4: Simplify right side
    23,788.32x = 432,628,921.07
  5. Step 5: Solve for x
    x = 432,628,921.07/23,788.32
  6. Step 6: Final answer
    x = 18,186.61

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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.