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Finding the Fourth Proportional to 13,177.50, 19,764 and 4,412.40

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Solution

The fourth proportional to 13,177.50, 19,764 and 4,412.40 is: 6,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.50 : 19,764 = 4,412.40 : x
  2. Step 2: Convert to fraction form
    13,177.50/19,764 = 4,412.40/x
  3. Step 3: Cross multiply
    13,177.50x = 19,764 × 4,412.40
  4. Step 4: Simplify right side
    13,177.50x = 87,206,673.60
  5. Step 5: Solve for x
    x = 87,206,673.60/13,177.50
  6. Step 6: Final answer
    x = 6,617.85

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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.