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Finding the Fourth Proportional to 23,762.30, 32,791.23 and 13,690.76

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Solution

The fourth proportional to 23,762.30, 32,791.23 and 13,690.76 is: 18,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.30 : 32,791.23 = 13,690.76 : x
  2. Step 2: Convert to fraction form
    23,762.30/32,791.23 = 13,690.76/x
  3. Step 3: Cross multiply
    23,762.30x = 32,791.23 × 13,690.76
  4. Step 4: Simplify right side
    23,762.30x = 448,936,696.08
  5. Step 5: Solve for x
    x = 448,936,696.08/23,762.30
  6. Step 6: Final answer
    x = 18,892.82

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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.