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Finding the Fourth Proportional to 14,694.47, 20,278.72 and 7,980.38

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Solution

The fourth proportional to 14,694.47, 20,278.72 and 7,980.38 is: 11,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.47 : 20,278.72 = 7,980.38 : x
  2. Step 2: Convert to fraction form
    14,694.47/20,278.72 = 7,980.38/x
  3. Step 3: Cross multiply
    14,694.47x = 20,278.72 × 7,980.38
  4. Step 4: Simplify right side
    14,694.47x = 161,831,891.51
  5. Step 5: Solve for x
    x = 161,831,891.51/14,694.47
  6. Step 6: Final answer
    x = 11,013.12

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Why These Related Problems?

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