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Finding the Fourth Proportional to 18,559, 27,840.12 and 4,708

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Solution

The fourth proportional to 18,559, 27,840.12 and 4,708 is: 7,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,559 : 27,840.12 = 4,708 : x
  2. Step 2: Convert to fraction form
    18,559/27,840.12 = 4,708/x
  3. Step 3: Cross multiply
    18,559x = 27,840.12 × 4,708
  4. Step 4: Simplify right side
    18,559x = 131,071,284.96
  5. Step 5: Solve for x
    x = 131,071,284.96/18,559
  6. Step 6: Final answer
    x = 7,062.41

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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.