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Finding the Fourth Proportional to 13,822.30, 19,074.77 and 8,157.06

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Solution

The fourth proportional to 13,822.30, 19,074.77 and 8,157.06 is: 11,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.30 : 19,074.77 = 8,157.06 : x
  2. Step 2: Convert to fraction form
    13,822.30/19,074.77 = 8,157.06/x
  3. Step 3: Cross multiply
    13,822.30x = 19,074.77 × 8,157.06
  4. Step 4: Simplify right side
    13,822.30x = 155,594,033.18
  5. Step 5: Solve for x
    x = 155,594,033.18/13,822.30
  6. Step 6: Final answer
    x = 11,256.74

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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.