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Finding the Fourth Proportional to 15,201.42, 22,810.02 and 11,502.54

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Solution

The fourth proportional to 15,201.42, 22,810.02 and 11,502.54 is: 17,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.42 : 22,810.02 = 11,502.54 : x
  2. Step 2: Convert to fraction form
    15,201.42/22,810.02 = 11,502.54/x
  3. Step 3: Cross multiply
    15,201.42x = 22,810.02 × 11,502.54
  4. Step 4: Simplify right side
    15,201.42x = 262,373,167.45
  5. Step 5: Solve for x
    x = 262,373,167.45/15,201.42
  6. Step 6: Final answer
    x = 17,259.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.