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Finding the Fourth Proportional to 12,567.42, 17,343.09 and 7,854.39

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Solution

The fourth proportional to 12,567.42, 17,343.09 and 7,854.39 is: 10,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.42 : 17,343.09 = 7,854.39 : x
  2. Step 2: Convert to fraction form
    12,567.42/17,343.09 = 7,854.39/x
  3. Step 3: Cross multiply
    12,567.42x = 17,343.09 × 7,854.39
  4. Step 4: Simplify right side
    12,567.42x = 136,219,392.67
  5. Step 5: Solve for x
    x = 136,219,392.67/12,567.42
  6. Step 6: Final answer
    x = 10,839.09

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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.