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Finding the Fourth Proportional to 21,033.91, 29,025.70 and 13,076

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Solution

The fourth proportional to 21,033.91, 29,025.70 and 13,076 is: 18,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.91 : 29,025.70 = 13,076 : x
  2. Step 2: Convert to fraction form
    21,033.91/29,025.70 = 13,076/x
  3. Step 3: Cross multiply
    21,033.91x = 29,025.70 × 13,076
  4. Step 4: Simplify right side
    21,033.91x = 379,540,053.20
  5. Step 5: Solve for x
    x = 379,540,053.20/21,033.91
  6. Step 6: Final answer
    x = 18,044.20

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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.