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Finding the Fourth Proportional to 20,584, 28,409.76 and 11,752

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Solution

The fourth proportional to 20,584, 28,409.76 and 11,752 is: 16,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 28,409.76 = 11,752 : x
  2. Step 2: Convert to fraction form
    20,584/28,409.76 = 11,752/x
  3. Step 3: Cross multiply
    20,584x = 28,409.76 × 11,752
  4. Step 4: Simplify right side
    20,584x = 333,871,499.52
  5. Step 5: Solve for x
    x = 333,871,499.52/20,584
  6. Step 6: Final answer
    x = 16,219.95

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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.