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Finding the Fourth Proportional to 12,853, 17,751.72 and 8,653.96

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Solution

The fourth proportional to 12,853, 17,751.72 and 8,653.96 is: 11,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853 : 17,751.72 = 8,653.96 : x
  2. Step 2: Convert to fraction form
    12,853/17,751.72 = 8,653.96/x
  3. Step 3: Cross multiply
    12,853x = 17,751.72 × 8,653.96
  4. Step 4: Simplify right side
    12,853x = 153,622,674.81
  5. Step 5: Solve for x
    x = 153,622,674.81/12,853
  6. Step 6: Final answer
    x = 11,952.28

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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.