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Finding the Fourth Proportional to 21,080, 29,086.90 and 12,585.57

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Solution

The fourth proportional to 21,080, 29,086.90 and 12,585.57 is: 17,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080 : 29,086.90 = 12,585.57 : x
  2. Step 2: Convert to fraction form
    21,080/29,086.90 = 12,585.57/x
  3. Step 3: Cross multiply
    21,080x = 29,086.90 × 12,585.57
  4. Step 4: Simplify right side
    21,080x = 366,075,007.67
  5. Step 5: Solve for x
    x = 366,075,007.67/21,080
  6. Step 6: Final answer
    x = 17,365.99

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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.