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Finding the Fourth Proportional to 14,899.64, 20,562 and 8,185.74

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Solution

The fourth proportional to 14,899.64, 20,562 and 8,185.74 is: 11,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899.64 : 20,562 = 8,185.74 : x
  2. Step 2: Convert to fraction form
    14,899.64/20,562 = 8,185.74/x
  3. Step 3: Cross multiply
    14,899.64x = 20,562 × 8,185.74
  4. Step 4: Simplify right side
    14,899.64x = 168,315,185.88
  5. Step 5: Solve for x
    x = 168,315,185.88/14,899.64
  6. Step 6: Final answer
    x = 11,296.59

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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.