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Finding the Fourth Proportional to 13,706.10, 18,916.56 and 10,352.70

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Solution

The fourth proportional to 13,706.10, 18,916.56 and 10,352.70 is: 14,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.10 : 18,916.56 = 10,352.70 : x
  2. Step 2: Convert to fraction form
    13,706.10/18,916.56 = 10,352.70/x
  3. Step 3: Cross multiply
    13,706.10x = 18,916.56 × 10,352.70
  4. Step 4: Simplify right side
    13,706.10x = 195,837,470.71
  5. Step 5: Solve for x
    x = 195,837,470.71/13,706.10
  6. Step 6: Final answer
    x = 14,288.34

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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.