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Finding the Fourth Proportional to 24,961.50, 34,446.90 and 13,783.50

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Solution

The fourth proportional to 24,961.50, 34,446.90 and 13,783.50 is: 19,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961.50 : 34,446.90 = 13,783.50 : x
  2. Step 2: Convert to fraction form
    24,961.50/34,446.90 = 13,783.50/x
  3. Step 3: Cross multiply
    24,961.50x = 34,446.90 × 13,783.50
  4. Step 4: Simplify right side
    24,961.50x = 474,798,846.15
  5. Step 5: Solve for x
    x = 474,798,846.15/24,961.50
  6. Step 6: Final answer
    x = 19,021.25

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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.