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Finding the Fourth Proportional to 17,802.40, 26,722.80 and 10,026.40

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Solution

The fourth proportional to 17,802.40, 26,722.80 and 10,026.40 is: 15,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.40 : 26,722.80 = 10,026.40 : x
  2. Step 2: Convert to fraction form
    17,802.40/26,722.80 = 10,026.40/x
  3. Step 3: Cross multiply
    17,802.40x = 26,722.80 × 10,026.40
  4. Step 4: Simplify right side
    17,802.40x = 267,933,481.92
  5. Step 5: Solve for x
    x = 267,933,481.92/17,802.40
  6. Step 6: Final answer
    x = 15,050.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.