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Finding the Fourth Proportional to 20,830.91, 28,746.90 and 11,399.47

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Solution

The fourth proportional to 20,830.91, 28,746.90 and 11,399.47 is: 15,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.91 : 28,746.90 = 11,399.47 : x
  2. Step 2: Convert to fraction form
    20,830.91/28,746.90 = 11,399.47/x
  3. Step 3: Cross multiply
    20,830.91x = 28,746.90 × 11,399.47
  4. Step 4: Simplify right side
    20,830.91x = 327,699,352.28
  5. Step 5: Solve for x
    x = 327,699,352.28/20,830.91
  6. Step 6: Final answer
    x = 15,731.40

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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.