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Finding the Fourth Proportional to 23,871.66, 32,939.23 and 13,798.16

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Solution

The fourth proportional to 23,871.66, 32,939.23 and 13,798.16 is: 19,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.66 : 32,939.23 = 13,798.16 : x
  2. Step 2: Convert to fraction form
    23,871.66/32,939.23 = 13,798.16/x
  3. Step 3: Cross multiply
    23,871.66x = 32,939.23 × 13,798.16
  4. Step 4: Simplify right side
    23,871.66x = 454,500,765.82
  5. Step 5: Solve for x
    x = 454,500,765.82/23,871.66
  6. Step 6: Final answer
    x = 19,039.34

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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.