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Finding the Fourth Proportional to 12,858.85, 19,284.90 and 5,459.50

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Solution

The fourth proportional to 12,858.85, 19,284.90 and 5,459.50 is: 8,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.85 : 19,284.90 = 5,459.50 : x
  2. Step 2: Convert to fraction form
    12,858.85/19,284.90 = 5,459.50/x
  3. Step 3: Cross multiply
    12,858.85x = 19,284.90 × 5,459.50
  4. Step 4: Simplify right side
    12,858.85x = 105,285,911.55
  5. Step 5: Solve for x
    x = 105,285,911.55/12,858.85
  6. Step 6: Final answer
    x = 8,187.82

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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.