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Finding the Fourth Proportional to 17,287.40, 23,855.64 and 10,214.48

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Solution

The fourth proportional to 17,287.40, 23,855.64 and 10,214.48 is: 14,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.40 : 23,855.64 = 10,214.48 : x
  2. Step 2: Convert to fraction form
    17,287.40/23,855.64 = 10,214.48/x
  3. Step 3: Cross multiply
    17,287.40x = 23,855.64 × 10,214.48
  4. Step 4: Simplify right side
    17,287.40x = 243,672,957.67
  5. Step 5: Solve for x
    x = 243,672,957.67/17,287.40
  6. Step 6: Final answer
    x = 14,095.41

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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.