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Finding the Fourth Proportional to 12,567.36, 17,343.06 and 7,854.42

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Solution

The fourth proportional to 12,567.36, 17,343.06 and 7,854.42 is: 10,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.36 : 17,343.06 = 7,854.42 : x
  2. Step 2: Convert to fraction form
    12,567.36/17,343.06 = 7,854.42/x
  3. Step 3: Cross multiply
    12,567.36x = 17,343.06 × 7,854.42
  4. Step 4: Simplify right side
    12,567.36x = 136,219,677.33
  5. Step 5: Solve for x
    x = 136,219,677.33/12,567.36
  6. Step 6: Final answer
    x = 10,839.16

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