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Finding the Fourth Proportional to 18,786.04, 25,923.70 and 10,402

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Solution

The fourth proportional to 18,786.04, 25,923.70 and 10,402 is: 14,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786.04 : 25,923.70 = 10,402 : x
  2. Step 2: Convert to fraction form
    18,786.04/25,923.70 = 10,402/x
  3. Step 3: Cross multiply
    18,786.04x = 25,923.70 × 10,402
  4. Step 4: Simplify right side
    18,786.04x = 269,658,327.40
  5. Step 5: Solve for x
    x = 269,658,327.40/18,786.04
  6. Step 6: Final answer
    x = 14,354.19

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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.