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Finding the Fourth Proportional to 15,874.96, 23,812.64 and 10,943.28

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Solution

The fourth proportional to 15,874.96, 23,812.64 and 10,943.28 is: 16,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.96 : 23,812.64 = 10,943.28 : x
  2. Step 2: Convert to fraction form
    15,874.96/23,812.64 = 10,943.28/x
  3. Step 3: Cross multiply
    15,874.96x = 23,812.64 × 10,943.28
  4. Step 4: Simplify right side
    15,874.96x = 260,588,387.06
  5. Step 5: Solve for x
    x = 260,588,387.06/15,874.96
  6. Step 6: Final answer
    x = 16,415.06

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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.