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Finding the Fourth Proportional to 23,965.32, 33,071.69 and 13,354.72

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Solution

The fourth proportional to 23,965.32, 33,071.69 and 13,354.72 is: 18,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.32 : 33,071.69 = 13,354.72 : x
  2. Step 2: Convert to fraction form
    23,965.32/33,071.69 = 13,354.72/x
  3. Step 3: Cross multiply
    23,965.32x = 33,071.69 × 13,354.72
  4. Step 4: Simplify right side
    23,965.32x = 441,663,159.88
  5. Step 5: Solve for x
    x = 441,663,159.88/23,965.32
  6. Step 6: Final answer
    x = 18,429.26

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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.