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Finding the Fourth Proportional to 18,802, 25,946.74 and 11,248.64

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Solution

The fourth proportional to 18,802, 25,946.74 and 11,248.64 is: 15,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802 : 25,946.74 = 11,248.64 : x
  2. Step 2: Convert to fraction form
    18,802/25,946.74 = 11,248.64/x
  3. Step 3: Cross multiply
    18,802x = 25,946.74 × 11,248.64
  4. Step 4: Simplify right side
    18,802x = 291,865,537.43
  5. Step 5: Solve for x
    x = 291,865,537.43/18,802
  6. Step 6: Final answer
    x = 15,523.11

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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.