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Finding the Fourth Proportional to 23,246.52, 32,077.80 and 13,813.26

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Solution

The fourth proportional to 23,246.52, 32,077.80 and 13,813.26 is: 19,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246.52 : 32,077.80 = 13,813.26 : x
  2. Step 2: Convert to fraction form
    23,246.52/32,077.80 = 13,813.26/x
  3. Step 3: Cross multiply
    23,246.52x = 32,077.80 × 13,813.26
  4. Step 4: Simplify right side
    23,246.52x = 443,098,991.63
  5. Step 5: Solve for x
    x = 443,098,991.63/23,246.52
  6. Step 6: Final answer
    x = 19,060.87

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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.