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Finding the Fourth Proportional to 14,078.27, 19,426.10 and 8,411.82

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Solution

The fourth proportional to 14,078.27, 19,426.10 and 8,411.82 is: 11,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.27 : 19,426.10 = 8,411.82 : x
  2. Step 2: Convert to fraction form
    14,078.27/19,426.10 = 8,411.82/x
  3. Step 3: Cross multiply
    14,078.27x = 19,426.10 × 8,411.82
  4. Step 4: Simplify right side
    14,078.27x = 163,408,923.25
  5. Step 5: Solve for x
    x = 163,408,923.25/14,078.27
  6. Step 6: Final answer
    x = 11,607.17

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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.