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Finding the Fourth Proportional to 13,664.50, 20,477.70 and 10,330

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Solution

The fourth proportional to 13,664.50, 20,477.70 and 10,330 is: 15,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.50 : 20,477.70 = 10,330 : x
  2. Step 2: Convert to fraction form
    13,664.50/20,477.70 = 10,330/x
  3. Step 3: Cross multiply
    13,664.50x = 20,477.70 × 10,330
  4. Step 4: Simplify right side
    13,664.50x = 211,534,641
  5. Step 5: Solve for x
    x = 211,534,641/13,664.50
  6. Step 6: Final answer
    x = 15,480.60

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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.