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Finding the Fourth Proportional to 13,383.50, 20,079.29 and 4,497.80

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Solution

The fourth proportional to 13,383.50, 20,079.29 and 4,497.80 is: 6,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.50 : 20,079.29 = 4,497.80 : x
  2. Step 2: Convert to fraction form
    13,383.50/20,079.29 = 4,497.80/x
  3. Step 3: Cross multiply
    13,383.50x = 20,079.29 × 4,497.80
  4. Step 4: Simplify right side
    13,383.50x = 90,312,541.41
  5. Step 5: Solve for x
    x = 90,312,541.41/13,383.50
  6. Step 6: Final answer
    x = 6,748.05

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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.