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Finding the Fourth Proportional to 13,688.84, 20,533.08 and 3,300.50

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Solution

The fourth proportional to 13,688.84, 20,533.08 and 3,300.50 is: 4,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.84 : 20,533.08 = 3,300.50 : x
  2. Step 2: Convert to fraction form
    13,688.84/20,533.08 = 3,300.50/x
  3. Step 3: Cross multiply
    13,688.84x = 20,533.08 × 3,300.50
  4. Step 4: Simplify right side
    13,688.84x = 67,769,430.54
  5. Step 5: Solve for x
    x = 67,769,430.54/13,688.84
  6. Step 6: Final answer
    x = 4,950.71

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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.