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Finding the Fourth Proportional to 13,684.50, 20,534.44 and 7,444.95

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Solution

The fourth proportional to 13,684.50, 20,534.44 and 7,444.95 is: 11,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.50 : 20,534.44 = 7,444.95 : x
  2. Step 2: Convert to fraction form
    13,684.50/20,534.44 = 7,444.95/x
  3. Step 3: Cross multiply
    13,684.50x = 20,534.44 × 7,444.95
  4. Step 4: Simplify right side
    13,684.50x = 152,877,739.18
  5. Step 5: Solve for x
    x = 152,877,739.18/13,684.50
  6. Step 6: Final answer
    x = 11,171.60

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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.