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Finding the Fourth Proportional to 20,899.40, 28,841.04 and 11,468

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Solution

The fourth proportional to 20,899.40, 28,841.04 and 11,468 is: 15,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.40 : 28,841.04 = 11,468 : x
  2. Step 2: Convert to fraction form
    20,899.40/28,841.04 = 11,468/x
  3. Step 3: Cross multiply
    20,899.40x = 28,841.04 × 11,468
  4. Step 4: Simplify right side
    20,899.40x = 330,749,046.72
  5. Step 5: Solve for x
    x = 330,749,046.72/20,899.40
  6. Step 6: Final answer
    x = 15,825.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.