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Finding the Fourth Proportional to 21,231.52, 29,291.92 and 14,596

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Solution

The fourth proportional to 21,231.52, 29,291.92 and 14,596 is: 20,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.52 : 29,291.92 = 14,596 : x
  2. Step 2: Convert to fraction form
    21,231.52/29,291.92 = 14,596/x
  3. Step 3: Cross multiply
    21,231.52x = 29,291.92 × 14,596
  4. Step 4: Simplify right side
    21,231.52x = 427,544,864.32
  5. Step 5: Solve for x
    x = 427,544,864.32/21,231.52
  6. Step 6: Final answer
    x = 20,137.27

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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.