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Finding the Fourth Proportional to 19,536.46, 29,304.69 and 12,975.46

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Solution

The fourth proportional to 19,536.46, 29,304.69 and 12,975.46 is: 19,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.46 : 29,304.69 = 12,975.46 : x
  2. Step 2: Convert to fraction form
    19,536.46/29,304.69 = 12,975.46/x
  3. Step 3: Cross multiply
    19,536.46x = 29,304.69 × 12,975.46
  4. Step 4: Simplify right side
    19,536.46x = 380,241,832.91
  5. Step 5: Solve for x
    x = 380,241,832.91/19,536.46
  6. Step 6: Final answer
    x = 19,463.19

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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.