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Finding the Fourth Proportional to 14,713.50, 20,304.63 and 8,089.50

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Solution

The fourth proportional to 14,713.50, 20,304.63 and 8,089.50 is: 11,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.50 : 20,304.63 = 8,089.50 : x
  2. Step 2: Convert to fraction form
    14,713.50/20,304.63 = 8,089.50/x
  3. Step 3: Cross multiply
    14,713.50x = 20,304.63 × 8,089.50
  4. Step 4: Simplify right side
    14,713.50x = 164,254,304.39
  5. Step 5: Solve for x
    x = 164,254,304.39/14,713.50
  6. Step 6: Final answer
    x = 11,163.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.