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Finding the Fourth Proportional to 23,632.65, 32,614.41 and 13,561

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Solution

The fourth proportional to 23,632.65, 32,614.41 and 13,561 is: 18,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.65 : 32,614.41 = 13,561 : x
  2. Step 2: Convert to fraction form
    23,632.65/32,614.41 = 13,561/x
  3. Step 3: Cross multiply
    23,632.65x = 32,614.41 × 13,561
  4. Step 4: Simplify right side
    23,632.65x = 442,284,014.01
  5. Step 5: Solve for x
    x = 442,284,014.01/23,632.65
  6. Step 6: Final answer
    x = 18,714.96

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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.