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Finding the Fourth Proportional to 18,477.56, 25,498.92 and 10,094

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Solution

The fourth proportional to 18,477.56, 25,498.92 and 10,094 is: 13,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.56 : 25,498.92 = 10,094 : x
  2. Step 2: Convert to fraction form
    18,477.56/25,498.92 = 10,094/x
  3. Step 3: Cross multiply
    18,477.56x = 25,498.92 × 10,094
  4. Step 4: Simplify right side
    18,477.56x = 257,386,098.48
  5. Step 5: Solve for x
    x = 257,386,098.48/18,477.56
  6. Step 6: Final answer
    x = 13,929.66

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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.