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Finding the Fourth Proportional to 12,675.46, 17,495.88 and 8,199.40

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Solution

The fourth proportional to 12,675.46, 17,495.88 and 8,199.40 is: 11,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.46 : 17,495.88 = 8,199.40 : x
  2. Step 2: Convert to fraction form
    12,675.46/17,495.88 = 8,199.40/x
  3. Step 3: Cross multiply
    12,675.46x = 17,495.88 × 8,199.40
  4. Step 4: Simplify right side
    12,675.46x = 143,455,718.47
  5. Step 5: Solve for x
    x = 143,455,718.47/12,675.46
  6. Step 6: Final answer
    x = 11,317.59

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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.