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Finding the Fourth Proportional to 12,811.80, 19,217.70 and 5,886.30

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Solution

The fourth proportional to 12,811.80, 19,217.70 and 5,886.30 is: 8,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.80 : 19,217.70 = 5,886.30 : x
  2. Step 2: Convert to fraction form
    12,811.80/19,217.70 = 5,886.30/x
  3. Step 3: Cross multiply
    12,811.80x = 19,217.70 × 5,886.30
  4. Step 4: Simplify right side
    12,811.80x = 113,121,147.51
  5. Step 5: Solve for x
    x = 113,121,147.51/12,811.80
  6. Step 6: Final answer
    x = 8,829.45

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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.