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Finding the Fourth Proportional to 13,812.58, 20,721.92 and 5,047.48

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Solution

The fourth proportional to 13,812.58, 20,721.92 and 5,047.48 is: 7,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.58 : 20,721.92 = 5,047.48 : x
  2. Step 2: Convert to fraction form
    13,812.58/20,721.92 = 5,047.48/x
  3. Step 3: Cross multiply
    13,812.58x = 20,721.92 × 5,047.48
  4. Step 4: Simplify right side
    13,812.58x = 104,593,476.76
  5. Step 5: Solve for x
    x = 104,593,476.76/13,812.58
  6. Step 6: Final answer
    x = 7,572.33

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1.5x scale

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.