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Finding the Fourth Proportional to 12,455.40, 17,184.97 and 7,148.28

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Solution

The fourth proportional to 12,455.40, 17,184.97 and 7,148.28 is: 9,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.40 : 17,184.97 = 7,148.28 : x
  2. Step 2: Convert to fraction form
    12,455.40/17,184.97 = 7,148.28/x
  3. Step 3: Cross multiply
    12,455.40x = 17,184.97 × 7,148.28
  4. Step 4: Simplify right side
    12,455.40x = 122,842,873.56
  5. Step 5: Solve for x
    x = 122,842,873.56/12,455.40
  6. Step 6: Final answer
    x = 9,862.62

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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.