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Finding the Fourth Proportional to 23,840.38, 32,898.42 and 13,229.74

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Solution

The fourth proportional to 23,840.38, 32,898.42 and 13,229.74 is: 18,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.38 : 32,898.42 = 13,229.74 : x
  2. Step 2: Convert to fraction form
    23,840.38/32,898.42 = 13,229.74/x
  3. Step 3: Cross multiply
    23,840.38x = 32,898.42 × 13,229.74
  4. Step 4: Simplify right side
    23,840.38x = 435,237,543.01
  5. Step 5: Solve for x
    x = 435,237,543.01/23,840.38
  6. Step 6: Final answer
    x = 18,256.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.