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Finding the Fourth Proportional to 11,021.81, 15,204.92 and 10,597.64

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Solution

The fourth proportional to 11,021.81, 15,204.92 and 10,597.64 is: 14,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.81 : 15,204.92 = 10,597.64 : x
  2. Step 2: Convert to fraction form
    11,021.81/15,204.92 = 10,597.64/x
  3. Step 3: Cross multiply
    11,021.81x = 15,204.92 × 10,597.64
  4. Step 4: Simplify right side
    11,021.81x = 161,136,139.38
  5. Step 5: Solve for x
    x = 161,136,139.38/11,021.81
  6. Step 6: Final answer
    x = 14,619.76

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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.