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Finding the Fourth Proportional to 23,761.19, 32,798.64 and 13,693.65

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Solution

The fourth proportional to 23,761.19, 32,798.64 and 13,693.65 is: 18,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.19 : 32,798.64 = 13,693.65 : x
  2. Step 2: Convert to fraction form
    23,761.19/32,798.64 = 13,693.65/x
  3. Step 3: Cross multiply
    23,761.19x = 32,798.64 × 13,693.65
  4. Step 4: Simplify right side
    23,761.19x = 449,133,040.21
  5. Step 5: Solve for x
    x = 449,133,040.21/23,761.19
  6. Step 6: Final answer
    x = 18,901.96

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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.