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Finding the Fourth Proportional to 12,854.72, 17,739.78 and 7,189.58

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Solution

The fourth proportional to 12,854.72, 17,739.78 and 7,189.58 is: 9,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.72 : 17,739.78 = 7,189.58 : x
  2. Step 2: Convert to fraction form
    12,854.72/17,739.78 = 7,189.58/x
  3. Step 3: Cross multiply
    12,854.72x = 17,739.78 × 7,189.58
  4. Step 4: Simplify right side
    12,854.72x = 127,541,567.49
  5. Step 5: Solve for x
    x = 127,541,567.49/12,854.72
  6. Step 6: Final answer
    x = 9,921.77

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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.