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Finding the Fourth Proportional to 14,826.34, 20,458.58 and 8,856.84

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Solution

The fourth proportional to 14,826.34, 20,458.58 and 8,856.84 is: 12,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826.34 : 20,458.58 = 8,856.84 : x
  2. Step 2: Convert to fraction form
    14,826.34/20,458.58 = 8,856.84/x
  3. Step 3: Cross multiply
    14,826.34x = 20,458.58 × 8,856.84
  4. Step 4: Simplify right side
    14,826.34x = 181,198,402.12
  5. Step 5: Solve for x
    x = 181,198,402.12/14,826.34
  6. Step 6: Final answer
    x = 12,221.38

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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.