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Finding the Fourth Proportional to 11,897.42, 17,813.28 and 8,966.84

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Solution

The fourth proportional to 11,897.42, 17,813.28 and 8,966.84 is: 13,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.42 : 17,813.28 = 8,966.84 : x
  2. Step 2: Convert to fraction form
    11,897.42/17,813.28 = 8,966.84/x
  3. Step 3: Cross multiply
    11,897.42x = 17,813.28 × 8,966.84
  4. Step 4: Simplify right side
    11,897.42x = 159,728,831.64
  5. Step 5: Solve for x
    x = 159,728,831.64/11,897.42
  6. Step 6: Final answer
    x = 13,425.50

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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.