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Finding the Fourth Proportional to 23,176, 31,982.70 and 12,565.36

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Solution

The fourth proportional to 23,176, 31,982.70 and 12,565.36 is: 17,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176 : 31,982.70 = 12,565.36 : x
  2. Step 2: Convert to fraction form
    23,176/31,982.70 = 12,565.36/x
  3. Step 3: Cross multiply
    23,176x = 31,982.70 × 12,565.36
  4. Step 4: Simplify right side
    23,176x = 401,874,139.27
  5. Step 5: Solve for x
    x = 401,874,139.27/23,176
  6. Step 6: Final answer
    x = 17,340.10

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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.