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Finding the Fourth Proportional to 12,341.84, 17,033.64 and 9,709.20

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Solution

The fourth proportional to 12,341.84, 17,033.64 and 9,709.20 is: 13,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.84 : 17,033.64 = 9,709.20 : x
  2. Step 2: Convert to fraction form
    12,341.84/17,033.64 = 9,709.20/x
  3. Step 3: Cross multiply
    12,341.84x = 17,033.64 × 9,709.20
  4. Step 4: Simplify right side
    12,341.84x = 165,383,017.49
  5. Step 5: Solve for x
    x = 165,383,017.49/12,341.84
  6. Step 6: Final answer
    x = 13,400.19

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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.