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Finding the Fourth Proportional to 17,618.70, 26,430.21 and 7,760.46

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Solution

The fourth proportional to 17,618.70, 26,430.21 and 7,760.46 is: 11,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.70 : 26,430.21 = 7,760.46 : x
  2. Step 2: Convert to fraction form
    17,618.70/26,430.21 = 7,760.46/x
  3. Step 3: Cross multiply
    17,618.70x = 26,430.21 × 7,760.46
  4. Step 4: Simplify right side
    17,618.70x = 205,110,587.50
  5. Step 5: Solve for x
    x = 205,110,587.50/17,618.70
  6. Step 6: Final answer
    x = 11,641.64

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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.