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Finding the Fourth Proportional to 12,850.84, 19,275.90 and 3,491.61

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Solution

The fourth proportional to 12,850.84, 19,275.90 and 3,491.61 is: 5,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.84 : 19,275.90 = 3,491.61 : x
  2. Step 2: Convert to fraction form
    12,850.84/19,275.90 = 3,491.61/x
  3. Step 3: Cross multiply
    12,850.84x = 19,275.90 × 3,491.61
  4. Step 4: Simplify right side
    12,850.84x = 67,303,925.20
  5. Step 5: Solve for x
    x = 67,303,925.20/12,850.84
  6. Step 6: Final answer
    x = 5,237.32

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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.