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Finding the Fourth Proportional to 12,560.24, 17,323.52 and 9,201.84

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Solution

The fourth proportional to 12,560.24, 17,323.52 and 9,201.84 is: 12,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.24 : 17,323.52 = 9,201.84 : x
  2. Step 2: Convert to fraction form
    12,560.24/17,323.52 = 9,201.84/x
  3. Step 3: Cross multiply
    12,560.24x = 17,323.52 × 9,201.84
  4. Step 4: Simplify right side
    12,560.24x = 159,408,259.28
  5. Step 5: Solve for x
    x = 159,408,259.28/12,560.24
  6. Step 6: Final answer
    x = 12,691.50

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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.