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Finding the Fourth Proportional to 13,708.40, 20,550 and 4,941.17

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Solution

The fourth proportional to 13,708.40, 20,550 and 4,941.17 is: 7,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.40 : 20,550 = 4,941.17 : x
  2. Step 2: Convert to fraction form
    13,708.40/20,550 = 4,941.17/x
  3. Step 3: Cross multiply
    13,708.40x = 20,550 × 4,941.17
  4. Step 4: Simplify right side
    13,708.40x = 101,541,043.50
  5. Step 5: Solve for x
    x = 101,541,043.50/13,708.40
  6. Step 6: Final answer
    x = 7,407.21

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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.