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Finding the Fourth Proportional to 12,917.44, 17,827.68 and 7,330.24

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Solution

The fourth proportional to 12,917.44, 17,827.68 and 7,330.24 is: 10,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.44 : 17,827.68 = 7,330.24 : x
  2. Step 2: Convert to fraction form
    12,917.44/17,827.68 = 7,330.24/x
  3. Step 3: Cross multiply
    12,917.44x = 17,827.68 × 7,330.24
  4. Step 4: Simplify right side
    12,917.44x = 130,681,173.04
  5. Step 5: Solve for x
    x = 130,681,173.04/12,917.44
  6. Step 6: Final answer
    x = 10,116.65

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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.