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Finding the Fourth Proportional to 12,656.61, 18,993.12 and 6,817.32

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Solution

The fourth proportional to 12,656.61, 18,993.12 and 6,817.32 is: 10,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.61 : 18,993.12 = 6,817.32 : x
  2. Step 2: Convert to fraction form
    12,656.61/18,993.12 = 6,817.32/x
  3. Step 3: Cross multiply
    12,656.61x = 18,993.12 × 6,817.32
  4. Step 4: Simplify right side
    12,656.61x = 129,482,176.84
  5. Step 5: Solve for x
    x = 129,482,176.84/12,656.61
  6. Step 6: Final answer
    x = 10,230.40

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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.