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Finding the Fourth Proportional to 18,454, 25,466.88 and 11,002

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Solution

The fourth proportional to 18,454, 25,466.88 and 11,002 is: 15,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454 : 25,466.88 = 11,002 : x
  2. Step 2: Convert to fraction form
    18,454/25,466.88 = 11,002/x
  3. Step 3: Cross multiply
    18,454x = 25,466.88 × 11,002
  4. Step 4: Simplify right side
    18,454x = 280,186,613.76
  5. Step 5: Solve for x
    x = 280,186,613.76/18,454
  6. Step 6: Final answer
    x = 15,182.97

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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.