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Finding the Fourth Proportional to 18,284.16, 27,421.98 and 5,137.80

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Solution

The fourth proportional to 18,284.16, 27,421.98 and 5,137.80 is: 7,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.16 : 27,421.98 = 5,137.80 : x
  2. Step 2: Convert to fraction form
    18,284.16/27,421.98 = 5,137.80/x
  3. Step 3: Cross multiply
    18,284.16x = 27,421.98 × 5,137.80
  4. Step 4: Simplify right side
    18,284.16x = 140,888,648.84
  5. Step 5: Solve for x
    x = 140,888,648.84/18,284.16
  6. Step 6: Final answer
    x = 7,705.50

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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.