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Finding the Fourth Proportional to 12,822.57, 17,690.99 and 7,156.40

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Solution

The fourth proportional to 12,822.57, 17,690.99 and 7,156.40 is: 9,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.57 : 17,690.99 = 7,156.40 : x
  2. Step 2: Convert to fraction form
    12,822.57/17,690.99 = 7,156.40/x
  3. Step 3: Cross multiply
    12,822.57x = 17,690.99 × 7,156.40
  4. Step 4: Simplify right side
    12,822.57x = 126,603,676.60
  5. Step 5: Solve for x
    x = 126,603,676.60/12,822.57
  6. Step 6: Final answer
    x = 9,873.50

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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.