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Finding the Fourth Proportional to 13,947.77, 19,247.24 and 7,980.10

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Solution

The fourth proportional to 13,947.77, 19,247.24 and 7,980.10 is: 11,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.77 : 19,247.24 = 7,980.10 : x
  2. Step 2: Convert to fraction form
    13,947.77/19,247.24 = 7,980.10/x
  3. Step 3: Cross multiply
    13,947.77x = 19,247.24 × 7,980.10
  4. Step 4: Simplify right side
    13,947.77x = 153,594,871.76
  5. Step 5: Solve for x
    x = 153,594,871.76/13,947.77
  6. Step 6: Final answer
    x = 11,012.14

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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.