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Finding the Fourth Proportional to 14,641.56, 20,206.80 and 8,354.88

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Solution

The fourth proportional to 14,641.56, 20,206.80 and 8,354.88 is: 11,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.56 : 20,206.80 = 8,354.88 : x
  2. Step 2: Convert to fraction form
    14,641.56/20,206.80 = 8,354.88/x
  3. Step 3: Cross multiply
    14,641.56x = 20,206.80 × 8,354.88
  4. Step 4: Simplify right side
    14,641.56x = 168,825,389.18
  5. Step 5: Solve for x
    x = 168,825,389.18/14,641.56
  6. Step 6: Final answer
    x = 11,530.56

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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.