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Finding the Fourth Proportional to 12,901.50, 19,355.50 and 3,667.50

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Solution

The fourth proportional to 12,901.50, 19,355.50 and 3,667.50 is: 5,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.50 : 19,355.50 = 3,667.50 : x
  2. Step 2: Convert to fraction form
    12,901.50/19,355.50 = 3,667.50/x
  3. Step 3: Cross multiply
    12,901.50x = 19,355.50 × 3,667.50
  4. Step 4: Simplify right side
    12,901.50x = 70,986,300.83
  5. Step 5: Solve for x
    x = 70,986,300.83/12,901.50
  6. Step 6: Final answer
    x = 5,502.17

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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.