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Finding the Fourth Proportional to 25,135.20, 37,713.60 and 12,823.20

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Solution

The fourth proportional to 25,135.20, 37,713.60 and 12,823.20 is: 19,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135.20 : 37,713.60 = 12,823.20 : x
  2. Step 2: Convert to fraction form
    25,135.20/37,713.60 = 12,823.20/x
  3. Step 3: Cross multiply
    25,135.20x = 37,713.60 × 12,823.20
  4. Step 4: Simplify right side
    25,135.20x = 483,609,035.52
  5. Step 5: Solve for x
    x = 483,609,035.52/25,135.20
  6. Step 6: Final answer
    x = 19,240.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.