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Finding the Fourth Proportional to 21,515.34, 29,694.04 and 13,024.32

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Solution

The fourth proportional to 21,515.34, 29,694.04 and 13,024.32 is: 17,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,515.34 : 29,694.04 = 13,024.32 : x
  2. Step 2: Convert to fraction form
    21,515.34/29,694.04 = 13,024.32/x
  3. Step 3: Cross multiply
    21,515.34x = 29,694.04 × 13,024.32
  4. Step 4: Simplify right side
    21,515.34x = 386,744,679.05
  5. Step 5: Solve for x
    x = 386,744,679.05/21,515.34
  6. Step 6: Final answer
    x = 17,975.30

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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.