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Finding the Fourth Proportional to 12,656.50, 18,984.82 and 4,867.14

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Solution

The fourth proportional to 12,656.50, 18,984.82 and 4,867.14 is: 7,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.50 : 18,984.82 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    12,656.50/18,984.82 = 4,867.14/x
  3. Step 3: Cross multiply
    12,656.50x = 18,984.82 × 4,867.14
  4. Step 4: Simplify right side
    12,656.50x = 92,401,776.81
  5. Step 5: Solve for x
    x = 92,401,776.81/12,656.50
  6. Step 6: Final answer
    x = 7,300.74

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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.