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Finding the Fourth Proportional to 18,477.50, 25,498.96 and 10,094

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Solution

The fourth proportional to 18,477.50, 25,498.96 and 10,094 is: 13,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.50 : 25,498.96 = 10,094 : x
  2. Step 2: Convert to fraction form
    18,477.50/25,498.96 = 10,094/x
  3. Step 3: Cross multiply
    18,477.50x = 25,498.96 × 10,094
  4. Step 4: Simplify right side
    18,477.50x = 257,386,502.24
  5. Step 5: Solve for x
    x = 257,386,502.24/18,477.50
  6. Step 6: Final answer
    x = 13,929.73

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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.