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Finding the Fourth Proportional to 13,687.76, 20,534.73 and 4,328.34

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Solution

The fourth proportional to 13,687.76, 20,534.73 and 4,328.34 is: 6,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.76 : 20,534.73 = 4,328.34 : x
  2. Step 2: Convert to fraction form
    13,687.76/20,534.73 = 4,328.34/x
  3. Step 3: Cross multiply
    13,687.76x = 20,534.73 × 4,328.34
  4. Step 4: Simplify right side
    13,687.76x = 88,881,271.61
  5. Step 5: Solve for x
    x = 88,881,271.61/13,687.76
  6. Step 6: Final answer
    x = 6,493.49

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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.