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Finding the Fourth Proportional to 12,454.63, 17,180.71 and 7,973.56

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Solution

The fourth proportional to 12,454.63, 17,180.71 and 7,973.56 is: 10,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.63 : 17,180.71 = 7,973.56 : x
  2. Step 2: Convert to fraction form
    12,454.63/17,180.71 = 7,973.56/x
  3. Step 3: Cross multiply
    12,454.63x = 17,180.71 × 7,973.56
  4. Step 4: Simplify right side
    12,454.63x = 136,991,422.03
  5. Step 5: Solve for x
    x = 136,991,422.03/12,454.63
  6. Step 6: Final answer
    x = 10,999.24

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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.