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Finding the Fourth Proportional to 17,897.76, 24,711.26 and 11,186.40

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Solution

The fourth proportional to 17,897.76, 24,711.26 and 11,186.40 is: 15,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.76 : 24,711.26 = 11,186.40 : x
  2. Step 2: Convert to fraction form
    17,897.76/24,711.26 = 11,186.40/x
  3. Step 3: Cross multiply
    17,897.76x = 24,711.26 × 11,186.40
  4. Step 4: Simplify right side
    17,897.76x = 276,429,859.38
  5. Step 5: Solve for x
    x = 276,429,859.38/17,897.76
  6. Step 6: Final answer
    x = 15,444.95

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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.