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Finding the Fourth Proportional to 18,656.96, 27,988.74 and 6,173.60

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Solution

The fourth proportional to 18,656.96, 27,988.74 and 6,173.60 is: 9,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.96 : 27,988.74 = 6,173.60 : x
  2. Step 2: Convert to fraction form
    18,656.96/27,988.74 = 6,173.60/x
  3. Step 3: Cross multiply
    18,656.96x = 27,988.74 × 6,173.60
  4. Step 4: Simplify right side
    18,656.96x = 172,791,285.26
  5. Step 5: Solve for x
    x = 172,791,285.26/18,656.96
  6. Step 6: Final answer
    x = 9,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.