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Finding the Fourth Proportional to 25,776.55, 38,660.19 and 11,733.22

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Solution

The fourth proportional to 25,776.55, 38,660.19 and 11,733.22 is: 17,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776.55 : 38,660.19 = 11,733.22 : x
  2. Step 2: Convert to fraction form
    25,776.55/38,660.19 = 11,733.22/x
  3. Step 3: Cross multiply
    25,776.55x = 38,660.19 × 11,733.22
  4. Step 4: Simplify right side
    25,776.55x = 453,608,514.51
  5. Step 5: Solve for x
    x = 453,608,514.51/25,776.55
  6. Step 6: Final answer
    x = 17,597.72

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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.