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Finding the Fourth Proportional to 26,193.65, 36,147.47 and 14,256.96

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Solution

The fourth proportional to 26,193.65, 36,147.47 and 14,256.96 is: 19,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,193.65 : 36,147.47 = 14,256.96 : x
  2. Step 2: Convert to fraction form
    26,193.65/36,147.47 = 14,256.96/x
  3. Step 3: Cross multiply
    26,193.65x = 36,147.47 × 14,256.96
  4. Step 4: Simplify right side
    26,193.65x = 515,353,030.38
  5. Step 5: Solve for x
    x = 515,353,030.38/26,193.65
  6. Step 6: Final answer
    x = 19,674.73

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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.