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Finding the Fourth Proportional to 13,974.66, 19,269.29 and 10,780.70

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Solution

The fourth proportional to 13,974.66, 19,269.29 and 10,780.70 is: 14,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.66 : 19,269.29 = 10,780.70 : x
  2. Step 2: Convert to fraction form
    13,974.66/19,269.29 = 10,780.70/x
  3. Step 3: Cross multiply
    13,974.66x = 19,269.29 × 10,780.70
  4. Step 4: Simplify right side
    13,974.66x = 207,736,365.31
  5. Step 5: Solve for x
    x = 207,736,365.31/13,974.66
  6. Step 6: Final answer
    x = 14,865.22

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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.