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Finding the Fourth Proportional to 23,763.80, 32,801.34 and 13,698.96

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Solution

The fourth proportional to 23,763.80, 32,801.34 and 13,698.96 is: 18,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.80 : 32,801.34 = 13,698.96 : x
  2. Step 2: Convert to fraction form
    23,763.80/32,801.34 = 13,698.96/x
  3. Step 3: Cross multiply
    23,763.80x = 32,801.34 × 13,698.96
  4. Step 4: Simplify right side
    23,763.80x = 449,344,176.11
  5. Step 5: Solve for x
    x = 449,344,176.11/23,763.80
  6. Step 6: Final answer
    x = 18,908.77

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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.