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Finding the Fourth Proportional to 14,645.10, 20,209.59 and 8,357.34

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Solution

The fourth proportional to 14,645.10, 20,209.59 and 8,357.34 is: 11,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.10 : 20,209.59 = 8,357.34 : x
  2. Step 2: Convert to fraction form
    14,645.10/20,209.59 = 8,357.34/x
  3. Step 3: Cross multiply
    14,645.10x = 20,209.59 × 8,357.34
  4. Step 4: Simplify right side
    14,645.10x = 168,898,414.89
  5. Step 5: Solve for x
    x = 168,898,414.89/14,645.10
  6. Step 6: Final answer
    x = 11,532.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.