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Finding the Fourth Proportional to 23,826.65, 32,866.47 and 15,760.49

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Solution

The fourth proportional to 23,826.65, 32,866.47 and 15,760.49 is: 21,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.65 : 32,866.47 = 15,760.49 : x
  2. Step 2: Convert to fraction form
    23,826.65/32,866.47 = 15,760.49/x
  3. Step 3: Cross multiply
    23,826.65x = 32,866.47 × 15,760.49
  4. Step 4: Simplify right side
    23,826.65x = 517,991,507.44
  5. Step 5: Solve for x
    x = 517,991,507.44/23,826.65
  6. Step 6: Final answer
    x = 21,740.01

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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.