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Finding the Fourth Proportional to 12,893.12, 19,319.55 and 8,952.06

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Solution

The fourth proportional to 12,893.12, 19,319.55 and 8,952.06 is: 13,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.12 : 19,319.55 = 8,952.06 : x
  2. Step 2: Convert to fraction form
    12,893.12/19,319.55 = 8,952.06/x
  3. Step 3: Cross multiply
    12,893.12x = 19,319.55 × 8,952.06
  4. Step 4: Simplify right side
    12,893.12x = 172,949,770.77
  5. Step 5: Solve for x
    x = 172,949,770.77/12,893.12
  6. Step 6: Final answer
    x = 13,414.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.