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Finding the Fourth Proportional to 15,302.98, 21,119.16 and 8,589.16

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Solution

The fourth proportional to 15,302.98, 21,119.16 and 8,589.16 is: 11,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.98 : 21,119.16 = 8,589.16 : x
  2. Step 2: Convert to fraction form
    15,302.98/21,119.16 = 8,589.16/x
  3. Step 3: Cross multiply
    15,302.98x = 21,119.16 × 8,589.16
  4. Step 4: Simplify right side
    15,302.98x = 181,395,844.31
  5. Step 5: Solve for x
    x = 181,395,844.31/15,302.98
  6. Step 6: Final answer
    x = 11,853.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.