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Finding the Fourth Proportional to 23,277, 32,119.02 and 14,325.96

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Solution

The fourth proportional to 23,277, 32,119.02 and 14,325.96 is: 19,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277 : 32,119.02 = 14,325.96 : x
  2. Step 2: Convert to fraction form
    23,277/32,119.02 = 14,325.96/x
  3. Step 3: Cross multiply
    23,277x = 32,119.02 × 14,325.96
  4. Step 4: Simplify right side
    23,277x = 460,135,795.76
  5. Step 5: Solve for x
    x = 460,135,795.76/23,277
  6. Step 6: Final answer
    x = 19,767.83

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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.