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Finding the Fourth Proportional to 16,145.65, 22,283.67 and 9,431.26

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Solution

The fourth proportional to 16,145.65, 22,283.67 and 9,431.26 is: 13,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.65 : 22,283.67 = 9,431.26 : x
  2. Step 2: Convert to fraction form
    16,145.65/22,283.67 = 9,431.26/x
  3. Step 3: Cross multiply
    16,145.65x = 22,283.67 × 9,431.26
  4. Step 4: Simplify right side
    16,145.65x = 210,163,065.18
  5. Step 5: Solve for x
    x = 210,163,065.18/16,145.65
  6. Step 6: Final answer
    x = 13,016.70

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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.