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Finding the Fourth Proportional to 23,752.82, 32,779.40 and 13,143.17

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Solution

The fourth proportional to 23,752.82, 32,779.40 and 13,143.17 is: 18,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.82 : 32,779.40 = 13,143.17 : x
  2. Step 2: Convert to fraction form
    23,752.82/32,779.40 = 13,143.17/x
  3. Step 3: Cross multiply
    23,752.82x = 32,779.40 × 13,143.17
  4. Step 4: Simplify right side
    23,752.82x = 430,824,997.09
  5. Step 5: Solve for x
    x = 430,824,997.09/23,752.82
  6. Step 6: Final answer
    x = 18,137.85

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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.