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Finding the Fourth Proportional to 13,702.68, 18,891.36 and 10,706.76

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Solution

The fourth proportional to 13,702.68, 18,891.36 and 10,706.76 is: 14,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.68 : 18,891.36 = 10,706.76 : x
  2. Step 2: Convert to fraction form
    13,702.68/18,891.36 = 10,706.76/x
  3. Step 3: Cross multiply
    13,702.68x = 18,891.36 × 10,706.76
  4. Step 4: Simplify right side
    13,702.68x = 202,265,257.59
  5. Step 5: Solve for x
    x = 202,265,257.59/13,702.68
  6. Step 6: Final answer
    x = 14,761.00

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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.