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Finding the Fourth Proportional to 12,595.64, 17,372.22 and 8,120.12

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Solution

The fourth proportional to 12,595.64, 17,372.22 and 8,120.12 is: 11,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.64 : 17,372.22 = 8,120.12 : x
  2. Step 2: Convert to fraction form
    12,595.64/17,372.22 = 8,120.12/x
  3. Step 3: Cross multiply
    12,595.64x = 17,372.22 × 8,120.12
  4. Step 4: Simplify right side
    12,595.64x = 141,064,511.07
  5. Step 5: Solve for x
    x = 141,064,511.07/12,595.64
  6. Step 6: Final answer
    x = 11,199.47

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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.