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Finding the Fourth Proportional to 13,977.32, 19,288.71 and 8,012.45

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Solution

The fourth proportional to 13,977.32, 19,288.71 and 8,012.45 is: 11,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.32 : 19,288.71 = 8,012.45 : x
  2. Step 2: Convert to fraction form
    13,977.32/19,288.71 = 8,012.45/x
  3. Step 3: Cross multiply
    13,977.32x = 19,288.71 × 8,012.45
  4. Step 4: Simplify right side
    13,977.32x = 154,549,824.44
  5. Step 5: Solve for x
    x = 154,549,824.44/13,977.32
  6. Step 6: Final answer
    x = 11,057.19

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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.