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Finding the Fourth Proportional to 20,782.98, 28,681.29 and 11,351.61

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Solution

The fourth proportional to 20,782.98, 28,681.29 and 11,351.61 is: 15,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.98 : 28,681.29 = 11,351.61 : x
  2. Step 2: Convert to fraction form
    20,782.98/28,681.29 = 11,351.61/x
  3. Step 3: Cross multiply
    20,782.98x = 28,681.29 × 11,351.61
  4. Step 4: Simplify right side
    20,782.98x = 325,578,818.38
  5. Step 5: Solve for x
    x = 325,578,818.38/20,782.98
  6. Step 6: Final answer
    x = 15,665.65

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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.