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Finding the Fourth Proportional to 17,762.76, 24,511.32 and 10,207.44

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Solution

The fourth proportional to 17,762.76, 24,511.32 and 10,207.44 is: 14,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.76 : 24,511.32 = 10,207.44 : x
  2. Step 2: Convert to fraction form
    17,762.76/24,511.32 = 10,207.44/x
  3. Step 3: Cross multiply
    17,762.76x = 24,511.32 × 10,207.44
  4. Step 4: Simplify right side
    17,762.76x = 250,197,828.22
  5. Step 5: Solve for x
    x = 250,197,828.22/17,762.76
  6. Step 6: Final answer
    x = 14,085.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.