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Finding the Fourth Proportional to 13,254.25, 19,880.95 and 6,232.57

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Solution

The fourth proportional to 13,254.25, 19,880.95 and 6,232.57 is: 9,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.25 : 19,880.95 = 6,232.57 : x
  2. Step 2: Convert to fraction form
    13,254.25/19,880.95 = 6,232.57/x
  3. Step 3: Cross multiply
    13,254.25x = 19,880.95 × 6,232.57
  4. Step 4: Simplify right side
    13,254.25x = 123,909,412.54
  5. Step 5: Solve for x
    x = 123,909,412.54/13,254.25
  6. Step 6: Final answer
    x = 9,348.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.