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Finding the Fourth Proportional to 13,008.16, 17,951.20 and 7,039.82

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Solution

The fourth proportional to 13,008.16, 17,951.20 and 7,039.82 is: 9,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.16 : 17,951.20 = 7,039.82 : x
  2. Step 2: Convert to fraction form
    13,008.16/17,951.20 = 7,039.82/x
  3. Step 3: Cross multiply
    13,008.16x = 17,951.20 × 7,039.82
  4. Step 4: Simplify right side
    13,008.16x = 126,373,216.78
  5. Step 5: Solve for x
    x = 126,373,216.78/13,008.16
  6. Step 6: Final answer
    x = 9,714.92

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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.