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Finding the Fourth Proportional to 23,106.33, 31,886.71 and 12,495.94

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Solution

The fourth proportional to 23,106.33, 31,886.71 and 12,495.94 is: 17,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.33 : 31,886.71 = 12,495.94 : x
  2. Step 2: Convert to fraction form
    23,106.33/31,886.71 = 12,495.94/x
  3. Step 3: Cross multiply
    23,106.33x = 31,886.71 × 12,495.94
  4. Step 4: Simplify right side
    23,106.33x = 398,454,374.29
  5. Step 5: Solve for x
    x = 398,454,374.29/23,106.33
  6. Step 6: Final answer
    x = 17,244.38

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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.