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Finding the Fourth Proportional to 18,234.72, 25,164 and 10,277.28

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Solution

The fourth proportional to 18,234.72, 25,164 and 10,277.28 is: 14,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.72 : 25,164 = 10,277.28 : x
  2. Step 2: Convert to fraction form
    18,234.72/25,164 = 10,277.28/x
  3. Step 3: Cross multiply
    18,234.72x = 25,164 × 10,277.28
  4. Step 4: Simplify right side
    18,234.72x = 258,617,473.92
  5. Step 5: Solve for x
    x = 258,617,473.92/18,234.72
  6. Step 6: Final answer
    x = 14,182.70

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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.