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Finding the Fourth Proportional to 17,778.80, 26,668.20 and 4,632.50

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Solution

The fourth proportional to 17,778.80, 26,668.20 and 4,632.50 is: 6,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.80 : 26,668.20 = 4,632.50 : x
  2. Step 2: Convert to fraction form
    17,778.80/26,668.20 = 4,632.50/x
  3. Step 3: Cross multiply
    17,778.80x = 26,668.20 × 4,632.50
  4. Step 4: Simplify right side
    17,778.80x = 123,540,303.16
  5. Step 5: Solve for x
    x = 123,540,303.16/17,778.80
  6. Step 6: Final answer
    x = 6,948.74

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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.