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Finding the Fourth Proportional to 20,552.40, 30,828.36 and 8,240.40

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Solution

The fourth proportional to 20,552.40, 30,828.36 and 8,240.40 is: 12,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.40 : 30,828.36 = 8,240.40 : x
  2. Step 2: Convert to fraction form
    20,552.40/30,828.36 = 8,240.40/x
  3. Step 3: Cross multiply
    20,552.40x = 30,828.36 × 8,240.40
  4. Step 4: Simplify right side
    20,552.40x = 254,038,017.74
  5. Step 5: Solve for x
    x = 254,038,017.74/20,552.40
  6. Step 6: Final answer
    x = 12,360.50

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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.