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Finding the Fourth Proportional to 23,258.25, 32,094.90 and 13,048.71

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Solution

The fourth proportional to 23,258.25, 32,094.90 and 13,048.71 is: 18,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.25 : 32,094.90 = 13,048.71 : x
  2. Step 2: Convert to fraction form
    23,258.25/32,094.90 = 13,048.71/x
  3. Step 3: Cross multiply
    23,258.25x = 32,094.90 × 13,048.71
  4. Step 4: Simplify right side
    23,258.25x = 418,797,042.58
  5. Step 5: Solve for x
    x = 418,797,042.58/23,258.25
  6. Step 6: Final answer
    x = 18,006.39

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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.