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Finding the Fourth Proportional to 12,409.48, 17,126.46 and 7,105

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Solution

The fourth proportional to 12,409.48, 17,126.46 and 7,105 is: 9,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.48 : 17,126.46 = 7,105 : x
  2. Step 2: Convert to fraction form
    12,409.48/17,126.46 = 7,105/x
  3. Step 3: Cross multiply
    12,409.48x = 17,126.46 × 7,105
  4. Step 4: Simplify right side
    12,409.48x = 121,683,498.30
  5. Step 5: Solve for x
    x = 121,683,498.30/12,409.48
  6. Step 6: Final answer
    x = 9,805.69

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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.