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Finding the Fourth Proportional to 12,875.66, 19,311.33 and 3,639.50

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Solution

The fourth proportional to 12,875.66, 19,311.33 and 3,639.50 is: 5,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.66 : 19,311.33 = 3,639.50 : x
  2. Step 2: Convert to fraction form
    12,875.66/19,311.33 = 3,639.50/x
  3. Step 3: Cross multiply
    12,875.66x = 19,311.33 × 3,639.50
  4. Step 4: Simplify right side
    12,875.66x = 70,283,585.54
  5. Step 5: Solve for x
    x = 70,283,585.54/12,875.66
  6. Step 6: Final answer
    x = 5,458.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.