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Finding the Fourth Proportional to 12,567.94, 17,345.89 and 7,265.84

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Solution

The fourth proportional to 12,567.94, 17,345.89 and 7,265.84 is: 10,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.94 : 17,345.89 = 7,265.84 : x
  2. Step 2: Convert to fraction form
    12,567.94/17,345.89 = 7,265.84/x
  3. Step 3: Cross multiply
    12,567.94x = 17,345.89 × 7,265.84
  4. Step 4: Simplify right side
    12,567.94x = 126,032,461.40
  5. Step 5: Solve for x
    x = 126,032,461.40/12,567.94
  6. Step 6: Final answer
    x = 10,028.09

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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.