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Finding the Fourth Proportional to 12,749.57, 17,595.51 and 7,446.09

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Solution

The fourth proportional to 12,749.57, 17,595.51 and 7,446.09 is: 10,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.57 : 17,595.51 = 7,446.09 : x
  2. Step 2: Convert to fraction form
    12,749.57/17,595.51 = 7,446.09/x
  3. Step 3: Cross multiply
    12,749.57x = 17,595.51 × 7,446.09
  4. Step 4: Simplify right side
    12,749.57x = 131,017,751.06
  5. Step 5: Solve for x
    x = 131,017,751.06/12,749.57
  6. Step 6: Final answer
    x = 10,276.25

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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.