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Finding the Fourth Proportional to 14,677.85, 20,269.81 and 10,152.12

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Solution

The fourth proportional to 14,677.85, 20,269.81 and 10,152.12 is: 14,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.85 : 20,269.81 = 10,152.12 : x
  2. Step 2: Convert to fraction form
    14,677.85/20,269.81 = 10,152.12/x
  3. Step 3: Cross multiply
    14,677.85x = 20,269.81 × 10,152.12
  4. Step 4: Simplify right side
    14,677.85x = 205,781,556.19
  5. Step 5: Solve for x
    x = 205,781,556.19/14,677.85
  6. Step 6: Final answer
    x = 14,019.87

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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.