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Finding the Fourth Proportional to 15,090.50, 20,825.80 and 8,718.26

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Solution

The fourth proportional to 15,090.50, 20,825.80 and 8,718.26 is: 12,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.50 : 20,825.80 = 8,718.26 : x
  2. Step 2: Convert to fraction form
    15,090.50/20,825.80 = 8,718.26/x
  3. Step 3: Cross multiply
    15,090.50x = 20,825.80 × 8,718.26
  4. Step 4: Simplify right side
    15,090.50x = 181,564,769.38
  5. Step 5: Solve for x
    x = 181,564,769.38/15,090.50
  6. Step 6: Final answer
    x = 12,031.72

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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.