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Finding the Fourth Proportional to 23,383.28, 32,269.34 and 14,310.16

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Solution

The fourth proportional to 23,383.28, 32,269.34 and 14,310.16 is: 19,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.28 : 32,269.34 = 14,310.16 : x
  2. Step 2: Convert to fraction form
    23,383.28/32,269.34 = 14,310.16/x
  3. Step 3: Cross multiply
    23,383.28x = 32,269.34 × 14,310.16
  4. Step 4: Simplify right side
    23,383.28x = 461,779,418.49
  5. Step 5: Solve for x
    x = 461,779,418.49/23,383.28
  6. Step 6: Final answer
    x = 19,748.27

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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.