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Finding the Fourth Proportional to 12,741.50, 17,583.28 and 7,154.30

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Solution

The fourth proportional to 12,741.50, 17,583.28 and 7,154.30 is: 9,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.50 : 17,583.28 = 7,154.30 : x
  2. Step 2: Convert to fraction form
    12,741.50/17,583.28 = 7,154.30/x
  3. Step 3: Cross multiply
    12,741.50x = 17,583.28 × 7,154.30
  4. Step 4: Simplify right side
    12,741.50x = 125,796,060.10
  5. Step 5: Solve for x
    x = 125,796,060.10/12,741.50
  6. Step 6: Final answer
    x = 9,872.94

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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.