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Finding the Fourth Proportional to 21,328.50, 29,431.49 and 13,775.16

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Solution

The fourth proportional to 21,328.50, 29,431.49 and 13,775.16 is: 19,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.50 : 29,431.49 = 13,775.16 : x
  2. Step 2: Convert to fraction form
    21,328.50/29,431.49 = 13,775.16/x
  3. Step 3: Cross multiply
    21,328.50x = 29,431.49 × 13,775.16
  4. Step 4: Simplify right side
    21,328.50x = 405,423,414.91
  5. Step 5: Solve for x
    x = 405,423,414.91/21,328.50
  6. Step 6: Final answer
    x = 19,008.53

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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.