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Finding the Fourth Proportional to 18,336.50, 25,304.40 and 9,953

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Solution

The fourth proportional to 18,336.50, 25,304.40 and 9,953 is: 13,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,336.50 : 25,304.40 = 9,953 : x
  2. Step 2: Convert to fraction form
    18,336.50/25,304.40 = 9,953/x
  3. Step 3: Cross multiply
    18,336.50x = 25,304.40 × 9,953
  4. Step 4: Simplify right side
    18,336.50x = 251,854,693.20
  5. Step 5: Solve for x
    x = 251,854,693.20/18,336.50
  6. Step 6: Final answer
    x = 13,735.16

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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.