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Finding the Fourth Proportional to 28,205.77, 42,308.96 and 13,416.19

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Solution

The fourth proportional to 28,205.77, 42,308.96 and 13,416.19 is: 20,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.77 : 42,308.96 = 13,416.19 : x
  2. Step 2: Convert to fraction form
    28,205.77/42,308.96 = 13,416.19/x
  3. Step 3: Cross multiply
    28,205.77x = 42,308.96 × 13,416.19
  4. Step 4: Simplify right side
    28,205.77x = 567,625,046.06
  5. Step 5: Solve for x
    x = 567,625,046.06/28,205.77
  6. Step 6: Final answer
    x = 20,124.43

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