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Finding the Fourth Proportional to 12,860.21, 19,281.06 and 5,836.70

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Solution

The fourth proportional to 12,860.21, 19,281.06 and 5,836.70 is: 8,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.21 : 19,281.06 = 5,836.70 : x
  2. Step 2: Convert to fraction form
    12,860.21/19,281.06 = 5,836.70/x
  3. Step 3: Cross multiply
    12,860.21x = 19,281.06 × 5,836.70
  4. Step 4: Simplify right side
    12,860.21x = 112,537,789.22
  5. Step 5: Solve for x
    x = 112,537,789.22/12,860.21
  6. Step 6: Final answer
    x = 8,750.85

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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.