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Finding the Fourth Proportional to 13,460.99, 20,191.31 and 4,695.86

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Solution

The fourth proportional to 13,460.99, 20,191.31 and 4,695.86 is: 7,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.99 : 20,191.31 = 4,695.86 : x
  2. Step 2: Convert to fraction form
    13,460.99/20,191.31 = 4,695.86/x
  3. Step 3: Cross multiply
    13,460.99x = 20,191.31 × 4,695.86
  4. Step 4: Simplify right side
    13,460.99x = 94,815,541.50
  5. Step 5: Solve for x
    x = 94,815,541.50/13,460.99
  6. Step 6: Final answer
    x = 7,043.73

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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.