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Finding the Fourth Proportional to 17,315.92, 25,949.24 and 13,402

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Solution

The fourth proportional to 17,315.92, 25,949.24 and 13,402 is: 20,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315.92 : 25,949.24 = 13,402 : x
  2. Step 2: Convert to fraction form
    17,315.92/25,949.24 = 13,402/x
  3. Step 3: Cross multiply
    17,315.92x = 25,949.24 × 13,402
  4. Step 4: Simplify right side
    17,315.92x = 347,771,714.48
  5. Step 5: Solve for x
    x = 347,771,714.48/17,315.92
  6. Step 6: Final answer
    x = 20,083.93

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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.