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Finding the Fourth Proportional to 12,643.32, 17,447.44 and 7,337.80

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Solution

The fourth proportional to 12,643.32, 17,447.44 and 7,337.80 is: 10,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.32 : 17,447.44 = 7,337.80 : x
  2. Step 2: Convert to fraction form
    12,643.32/17,447.44 = 7,337.80/x
  3. Step 3: Cross multiply
    12,643.32x = 17,447.44 × 7,337.80
  4. Step 4: Simplify right side
    12,643.32x = 128,025,825.23
  5. Step 5: Solve for x
    x = 128,025,825.23/12,643.32
  6. Step 6: Final answer
    x = 10,125.97

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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.