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Finding the Fourth Proportional to 12,207.67, 16,816.45 and 10,409.29

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Solution

The fourth proportional to 12,207.67, 16,816.45 and 10,409.29 is: 14,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.67 : 16,816.45 = 10,409.29 : x
  2. Step 2: Convert to fraction form
    12,207.67/16,816.45 = 10,409.29/x
  3. Step 3: Cross multiply
    12,207.67x = 16,816.45 × 10,409.29
  4. Step 4: Simplify right side
    12,207.67x = 175,047,304.82
  5. Step 5: Solve for x
    x = 175,047,304.82/12,207.67
  6. Step 6: Final answer
    x = 14,339.12

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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.