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Finding the Fourth Proportional to 12,778.90, 19,167.20 and 4,457.50

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Solution

The fourth proportional to 12,778.90, 19,167.20 and 4,457.50 is: 6,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.90 : 19,167.20 = 4,457.50 : x
  2. Step 2: Convert to fraction form
    12,778.90/19,167.20 = 4,457.50/x
  3. Step 3: Cross multiply
    12,778.90x = 19,167.20 × 4,457.50
  4. Step 4: Simplify right side
    12,778.90x = 85,437,794
  5. Step 5: Solve for x
    x = 85,437,794/12,778.90
  6. Step 6: Final answer
    x = 6,685.85

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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.