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Finding the Fourth Proportional to 12,175.40, 16,802.16 and 7,142.60

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Solution

The fourth proportional to 12,175.40, 16,802.16 and 7,142.60 is: 9,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.40 : 16,802.16 = 7,142.60 : x
  2. Step 2: Convert to fraction form
    12,175.40/16,802.16 = 7,142.60/x
  3. Step 3: Cross multiply
    12,175.40x = 16,802.16 × 7,142.60
  4. Step 4: Simplify right side
    12,175.40x = 120,011,108.02
  5. Step 5: Solve for x
    x = 120,011,108.02/12,175.40
  6. Step 6: Final answer
    x = 9,856.85

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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.