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Finding the Fourth Proportional to 11,624.46, 16,019.82 and 9,102.39

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Solution

The fourth proportional to 11,624.46, 16,019.82 and 9,102.39 is: 12,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.46 : 16,019.82 = 9,102.39 : x
  2. Step 2: Convert to fraction form
    11,624.46/16,019.82 = 9,102.39/x
  3. Step 3: Cross multiply
    11,624.46x = 16,019.82 × 9,102.39
  4. Step 4: Simplify right side
    11,624.46x = 145,818,649.37
  5. Step 5: Solve for x
    x = 145,818,649.37/11,624.46
  6. Step 6: Final answer
    x = 12,544.12

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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.