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Finding the Fourth Proportional to 13,970.33, 19,278.67 and 7,682.71

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Solution

The fourth proportional to 13,970.33, 19,278.67 and 7,682.71 is: 10,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.33 : 19,278.67 = 7,682.71 : x
  2. Step 2: Convert to fraction form
    13,970.33/19,278.67 = 7,682.71/x
  3. Step 3: Cross multiply
    13,970.33x = 19,278.67 × 7,682.71
  4. Step 4: Simplify right side
    13,970.33x = 148,112,334.40
  5. Step 5: Solve for x
    x = 148,112,334.40/13,970.33
  6. Step 6: Final answer
    x = 10,601.92

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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.