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Finding the Fourth Proportional to 14,697.96, 22,048.26 and 4,309.80

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Solution

The fourth proportional to 14,697.96, 22,048.26 and 4,309.80 is: 6,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.96 : 22,048.26 = 4,309.80 : x
  2. Step 2: Convert to fraction form
    14,697.96/22,048.26 = 4,309.80/x
  3. Step 3: Cross multiply
    14,697.96x = 22,048.26 × 4,309.80
  4. Step 4: Simplify right side
    14,697.96x = 95,023,590.95
  5. Step 5: Solve for x
    x = 95,023,590.95/14,697.96
  6. Step 6: Final answer
    x = 6,465.09

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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.