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Finding the Fourth Proportional to 13,706, 20,561.88 and 5,498

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Solution

The fourth proportional to 13,706, 20,561.88 and 5,498 is: 8,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 20,561.88 = 5,498 : x
  2. Step 2: Convert to fraction form
    13,706/20,561.88 = 5,498/x
  3. Step 3: Cross multiply
    13,706x = 20,561.88 × 5,498
  4. Step 4: Simplify right side
    13,706x = 113,049,216.24
  5. Step 5: Solve for x
    x = 113,049,216.24/13,706
  6. Step 6: Final answer
    x = 8,248.16

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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.