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Finding the Fourth Proportional to 14,770.10, 20,383.23 and 8,056.10

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Solution

The fourth proportional to 14,770.10, 20,383.23 and 8,056.10 is: 11,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.10 : 20,383.23 = 8,056.10 : x
  2. Step 2: Convert to fraction form
    14,770.10/20,383.23 = 8,056.10/x
  3. Step 3: Cross multiply
    14,770.10x = 20,383.23 × 8,056.10
  4. Step 4: Simplify right side
    14,770.10x = 164,209,237.29
  5. Step 5: Solve for x
    x = 164,209,237.29/14,770.10
  6. Step 6: Final answer
    x = 11,117.68

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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.