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Finding the Fourth Proportional to 28,199.40, 38,914.14 and 16,263.24

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Solution

The fourth proportional to 28,199.40, 38,914.14 and 16,263.24 is: 22,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,199.40 : 38,914.14 = 16,263.24 : x
  2. Step 2: Convert to fraction form
    28,199.40/38,914.14 = 16,263.24/x
  3. Step 3: Cross multiply
    28,199.40x = 38,914.14 × 16,263.24
  4. Step 4: Simplify right side
    28,199.40x = 632,869,998.21
  5. Step 5: Solve for x
    x = 632,869,998.21/28,199.40
  6. Step 6: Final answer
    x = 22,442.68

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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.