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Finding the Fourth Proportional to 16,204.70, 24,307.05 and 13,612.70

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Solution

The fourth proportional to 16,204.70, 24,307.05 and 13,612.70 is: 20,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.70 : 24,307.05 = 13,612.70 : x
  2. Step 2: Convert to fraction form
    16,204.70/24,307.05 = 13,612.70/x
  3. Step 3: Cross multiply
    16,204.70x = 24,307.05 × 13,612.70
  4. Step 4: Simplify right side
    16,204.70x = 330,884,579.54
  5. Step 5: Solve for x
    x = 330,884,579.54/16,204.70
  6. Step 6: Final answer
    x = 20,419.05

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1.5x scale

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.