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Finding the Fourth Proportional to 12,640.64, 17,447.52 and 7,334.40

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Solution

The fourth proportional to 12,640.64, 17,447.52 and 7,334.40 is: 10,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.64 : 17,447.52 = 7,334.40 : x
  2. Step 2: Convert to fraction form
    12,640.64/17,447.52 = 7,334.40/x
  3. Step 3: Cross multiply
    12,640.64x = 17,447.52 × 7,334.40
  4. Step 4: Simplify right side
    12,640.64x = 127,967,090.69
  5. Step 5: Solve for x
    x = 127,967,090.69/12,640.64
  6. Step 6: Final answer
    x = 10,123.47

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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.