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Finding the Fourth Proportional to 12,341.16, 17,027.82 and 7,034.04

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Solution

The fourth proportional to 12,341.16, 17,027.82 and 7,034.04 is: 9,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.16 : 17,027.82 = 7,034.04 : x
  2. Step 2: Convert to fraction form
    12,341.16/17,027.82 = 7,034.04/x
  3. Step 3: Cross multiply
    12,341.16x = 17,027.82 × 7,034.04
  4. Step 4: Simplify right side
    12,341.16x = 119,774,366.99
  5. Step 5: Solve for x
    x = 119,774,366.99/12,341.16
  6. Step 6: Final answer
    x = 9,705.28

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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.