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Finding the Fourth Proportional to 23,154.84, 31,953.61 and 12,544.65

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Solution

The fourth proportional to 23,154.84, 31,953.61 and 12,544.65 is: 17,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.84 : 31,953.61 = 12,544.65 : x
  2. Step 2: Convert to fraction form
    23,154.84/31,953.61 = 12,544.65/x
  3. Step 3: Cross multiply
    23,154.84x = 31,953.61 × 12,544.65
  4. Step 4: Simplify right side
    23,154.84x = 400,846,853.69
  5. Step 5: Solve for x
    x = 400,846,853.69/23,154.84
  6. Step 6: Final answer
    x = 17,311.58

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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.