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Finding the Fourth Proportional to 12,493.76, 17,238.57 and 7,458.80

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Solution

The fourth proportional to 12,493.76, 17,238.57 and 7,458.80 is: 10,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.76 : 17,238.57 = 7,458.80 : x
  2. Step 2: Convert to fraction form
    12,493.76/17,238.57 = 7,458.80/x
  3. Step 3: Cross multiply
    12,493.76x = 17,238.57 × 7,458.80
  4. Step 4: Simplify right side
    12,493.76x = 128,579,045.92
  5. Step 5: Solve for x
    x = 128,579,045.92/12,493.76
  6. Step 6: Final answer
    x = 10,291.46

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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.