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Finding the Fourth Proportional to 17,802.50, 26,719.94 and 9,489.60

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Solution

The fourth proportional to 17,802.50, 26,719.94 and 9,489.60 is: 14,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.50 : 26,719.94 = 9,489.60 : x
  2. Step 2: Convert to fraction form
    17,802.50/26,719.94 = 9,489.60/x
  3. Step 3: Cross multiply
    17,802.50x = 26,719.94 × 9,489.60
  4. Step 4: Simplify right side
    17,802.50x = 253,561,566.35
  5. Step 5: Solve for x
    x = 253,561,566.35/17,802.50
  6. Step 6: Final answer
    x = 14,243.04

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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.