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Finding the Fourth Proportional to 12,678.24, 17,494.62 and 7,372.74

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Solution

The fourth proportional to 12,678.24, 17,494.62 and 7,372.74 is: 10,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.24 : 17,494.62 = 7,372.74 : x
  2. Step 2: Convert to fraction form
    12,678.24/17,494.62 = 7,372.74/x
  3. Step 3: Cross multiply
    12,678.24x = 17,494.62 × 7,372.74
  4. Step 4: Simplify right side
    12,678.24x = 128,983,284.66
  5. Step 5: Solve for x
    x = 128,983,284.66/12,678.24
  6. Step 6: Final answer
    x = 10,173.60

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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.