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Finding the Fourth Proportional to 21,387.12, 29,519.28 and 13,002

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Solution

The fourth proportional to 21,387.12, 29,519.28 and 13,002 is: 17,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.12 : 29,519.28 = 13,002 : x
  2. Step 2: Convert to fraction form
    21,387.12/29,519.28 = 13,002/x
  3. Step 3: Cross multiply
    21,387.12x = 29,519.28 × 13,002
  4. Step 4: Simplify right side
    21,387.12x = 383,809,678.56
  5. Step 5: Solve for x
    x = 383,809,678.56/21,387.12
  6. Step 6: Final answer
    x = 17,945.83

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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.