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Finding the Fourth Proportional to 27,597.51, 38,079.32 and 17,527.59

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Solution

The fourth proportional to 27,597.51, 38,079.32 and 17,527.59 is: 24,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.51 : 38,079.32 = 17,527.59 : x
  2. Step 2: Convert to fraction form
    27,597.51/38,079.32 = 17,527.59/x
  3. Step 3: Cross multiply
    27,597.51x = 38,079.32 × 17,527.59
  4. Step 4: Simplify right side
    27,597.51x = 667,438,620.80
  5. Step 5: Solve for x
    x = 667,438,620.80/27,597.51
  6. Step 6: Final answer
    x = 24,184.74

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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.