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Finding the Fourth Proportional to 23,179.81, 31,969.50 and 15,623.38

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Solution

The fourth proportional to 23,179.81, 31,969.50 and 15,623.38 is: 21,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.81 : 31,969.50 = 15,623.38 : x
  2. Step 2: Convert to fraction form
    23,179.81/31,969.50 = 15,623.38/x
  3. Step 3: Cross multiply
    23,179.81x = 31,969.50 × 15,623.38
  4. Step 4: Simplify right side
    23,179.81x = 499,471,650.25
  5. Step 5: Solve for x
    x = 499,471,650.25/23,179.81
  6. Step 6: Final answer
    x = 21,547.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.