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Finding the Fourth Proportional to 13,970.77, 19,279.07 and 7,682.74

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Solution

The fourth proportional to 13,970.77, 19,279.07 and 7,682.74 is: 10,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.77 : 19,279.07 = 7,682.74 : x
  2. Step 2: Convert to fraction form
    13,970.77/19,279.07 = 7,682.74/x
  3. Step 3: Cross multiply
    13,970.77x = 19,279.07 × 7,682.74
  4. Step 4: Simplify right side
    13,970.77x = 148,116,082.25
  5. Step 5: Solve for x
    x = 148,116,082.25/13,970.77
  6. Step 6: Final answer
    x = 10,601.86

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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.