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Finding the Fourth Proportional to 12,922.19, 17,833.64 and 7,257.32

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Solution

The fourth proportional to 12,922.19, 17,833.64 and 7,257.32 is: 10,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.19 : 17,833.64 = 7,257.32 : x
  2. Step 2: Convert to fraction form
    12,922.19/17,833.64 = 7,257.32/x
  3. Step 3: Cross multiply
    12,922.19x = 17,833.64 × 7,257.32
  4. Step 4: Simplify right side
    12,922.19x = 129,424,432.24
  5. Step 5: Solve for x
    x = 129,424,432.24/12,922.19
  6. Step 6: Final answer
    x = 10,015.67

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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.