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Finding the Fourth Proportional to 13,797.90, 19,042.86 and 10,271.16

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Solution

The fourth proportional to 13,797.90, 19,042.86 and 10,271.16 is: 14,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.90 : 19,042.86 = 10,271.16 : x
  2. Step 2: Convert to fraction form
    13,797.90/19,042.86 = 10,271.16/x
  3. Step 3: Cross multiply
    13,797.90x = 19,042.86 × 10,271.16
  4. Step 4: Simplify right side
    13,797.90x = 195,592,261.92
  5. Step 5: Solve for x
    x = 195,592,261.92/13,797.90
  6. Step 6: Final answer
    x = 14,175.51

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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.