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Finding the Fourth Proportional to 14,304, 19,732.80 and 10,114.56

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Solution

The fourth proportional to 14,304, 19,732.80 and 10,114.56 is: 13,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 19,732.80 = 10,114.56 : x
  2. Step 2: Convert to fraction form
    14,304/19,732.80 = 10,114.56/x
  3. Step 3: Cross multiply
    14,304x = 19,732.80 × 10,114.56
  4. Step 4: Simplify right side
    14,304x = 199,588,589.57
  5. Step 5: Solve for x
    x = 199,588,589.57/14,304
  6. Step 6: Final answer
    x = 13,953.34

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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.