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Finding the Fourth Proportional to 12,886.41, 19,331.25 and 4,564.80

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Solution

The fourth proportional to 12,886.41, 19,331.25 and 4,564.80 is: 6,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.41 : 19,331.25 = 4,564.80 : x
  2. Step 2: Convert to fraction form
    12,886.41/19,331.25 = 4,564.80/x
  3. Step 3: Cross multiply
    12,886.41x = 19,331.25 × 4,564.80
  4. Step 4: Simplify right side
    12,886.41x = 88,243,290
  5. Step 5: Solve for x
    x = 88,243,290/12,886.41
  6. Step 6: Final answer
    x = 6,847.78

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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.