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Finding the Fourth Proportional to 17,673.60, 26,502.30 and 7,807.80

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Solution

The fourth proportional to 17,673.60, 26,502.30 and 7,807.80 is: 11,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.60 : 26,502.30 = 7,807.80 : x
  2. Step 2: Convert to fraction form
    17,673.60/26,502.30 = 7,807.80/x
  3. Step 3: Cross multiply
    17,673.60x = 26,502.30 × 7,807.80
  4. Step 4: Simplify right side
    17,673.60x = 206,924,657.94
  5. Step 5: Solve for x
    x = 206,924,657.94/17,673.60
  6. Step 6: Final answer
    x = 11,708.12

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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.