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Finding the Fourth Proportional to 14,278.68, 19,702.71 and 8,311.41

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Solution

The fourth proportional to 14,278.68, 19,702.71 and 8,311.41 is: 11,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.68 : 19,702.71 = 8,311.41 : x
  2. Step 2: Convert to fraction form
    14,278.68/19,702.71 = 8,311.41/x
  3. Step 3: Cross multiply
    14,278.68x = 19,702.71 × 8,311.41
  4. Step 4: Simplify right side
    14,278.68x = 163,757,300.92
  5. Step 5: Solve for x
    x = 163,757,300.92/14,278.68
  6. Step 6: Final answer
    x = 11,468.66

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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.