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Finding the Fourth Proportional to 12,682.40, 17,465.68 and 12,411.04

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Solution

The fourth proportional to 12,682.40, 17,465.68 and 12,411.04 is: 17,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.40 : 17,465.68 = 12,411.04 : x
  2. Step 2: Convert to fraction form
    12,682.40/17,465.68 = 12,411.04/x
  3. Step 3: Cross multiply
    12,682.40x = 17,465.68 × 12,411.04
  4. Step 4: Simplify right side
    12,682.40x = 216,767,253.11
  5. Step 5: Solve for x
    x = 216,767,253.11/12,682.40
  6. Step 6: Final answer
    x = 17,091.97

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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.