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Finding the Fourth Proportional to 17,877.46, 24,672 and 10,325.20

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Solution

The fourth proportional to 17,877.46, 24,672 and 10,325.20 is: 14,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.46 : 24,672 = 10,325.20 : x
  2. Step 2: Convert to fraction form
    17,877.46/24,672 = 10,325.20/x
  3. Step 3: Cross multiply
    17,877.46x = 24,672 × 10,325.20
  4. Step 4: Simplify right side
    17,877.46x = 254,743,334.40
  5. Step 5: Solve for x
    x = 254,743,334.40/17,877.46
  6. Step 6: Final answer
    x = 14,249.41

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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.