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Finding the Fourth Proportional to 15,216, 20,998.08 and 8,592

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Solution

The fourth proportional to 15,216, 20,998.08 and 8,592 is: 11,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216 : 20,998.08 = 8,592 : x
  2. Step 2: Convert to fraction form
    15,216/20,998.08 = 8,592/x
  3. Step 3: Cross multiply
    15,216x = 20,998.08 × 8,592
  4. Step 4: Simplify right side
    15,216x = 180,415,503.36
  5. Step 5: Solve for x
    x = 180,415,503.36/15,216
  6. Step 6: Final answer
    x = 11,856.96

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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.